Index – F F (sage.categories.examples.with_realizations.SubsetAlgebra attribute) f() (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method) (sage.categories.examples.crystals.NaiveCrystal.Element method) (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ElementMethods method) (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ParentMethods method) f_on_basis() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods method) f_string() (sage.categories.crystals.Crystals.ElementMethods method) Facade (sage.categories.sets_cat.Sets attribute) Facade() (sage.categories.sets_cat.Sets.SubcategoryMethods method) facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method) (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) FacadeSets (class in sage.categories.facade_sets) FacadeSets.ParentMethods (class in sage.categories.facade_sets) faces() (sage.categories.graphs.Graphs.ParentMethods method) (sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method) facets() (sage.categories.graphs.Graphs.ParentMethods method) (sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method) factor() (sage.categories.fields.Fields.ElementMethods method) (sage.categories.quotient_fields.QuotientFields.ElementMethods method) fat_wedge() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method) Fields (class in sage.categories.fields) Fields.ElementMethods (class in sage.categories.fields) Fields.ParentMethods (class in sage.categories.fields) Filtered (sage.categories.algebras.Algebras attribute) (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute) (sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute) (sage.categories.modules.Modules attribute) (sage.categories.modules_with_basis.ModulesWithBasis attribute) Filtered() (sage.categories.modules.Modules.SubcategoryMethods method) FilteredAlgebras (class in sage.categories.filtered_algebras) FilteredAlgebras.ParentMethods (class in sage.categories.filtered_algebras) FilteredAlgebrasWithBasis (class in sage.categories.filtered_algebras_with_basis) FilteredAlgebrasWithBasis.ElementMethods (class in sage.categories.filtered_algebras_with_basis) FilteredAlgebrasWithBasis.ParentMethods (class in sage.categories.filtered_algebras_with_basis) FilteredModules (class in sage.categories.filtered_modules) FilteredModules.Connected (class in sage.categories.filtered_modules) FilteredModules.SubcategoryMethods (class in sage.categories.filtered_modules) FilteredModulesCategory (class in sage.categories.filtered_modules) FilteredModulesWithBasis (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.ElementMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.FiniteDimensional (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.FiniteDimensional.ParentMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.ParentMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects.ElementMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects.ParentMethods (class in sage.categories.filtered_modules_with_basis) Finite (sage.categories.complex_reflection_groups.ComplexReflectionGroups attribute) (sage.categories.coxeter_groups.CoxeterGroups attribute) (sage.categories.crystals.Crystals attribute) (sage.categories.enumerated_sets.EnumeratedSets attribute) (sage.categories.fields.Fields attribute) (sage.categories.groups.Groups attribute) (sage.categories.lattice_posets.LatticePosets attribute) (sage.categories.monoids.Monoids attribute) (sage.categories.permutation_groups.PermutationGroups attribute) (sage.categories.posets.Posets attribute) (sage.categories.semigroups.Semigroups attribute) (sage.categories.sets_cat.Sets attribute) (sage.categories.weyl_groups.WeylGroups attribute) Finite() (sage.categories.sets_cat.Sets.SubcategoryMethods method) Finite_extra_super_categories() (sage.categories.division_rings.DivisionRings method) (sage.categories.h_trivial_semigroups.HTrivialSemigroups method) FiniteComplexReflectionGroups (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.ElementMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.Irreducible (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.SubcategoryMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.Irreducible (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups) FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups) FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups) FiniteCrystals (class in sage.categories.finite_crystals) FiniteCrystals.TensorProducts (class in sage.categories.finite_crystals) FiniteDimensional (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute) (sage.categories.graded_lie_algebras_with_basis.GradedLieAlgebrasWithBasis attribute) (sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute) (sage.categories.modules_with_basis.ModulesWithBasis attribute) FiniteDimensional() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) (sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method) (sage.categories.manifolds.Manifolds.SubcategoryMethods method) (sage.categories.modules.Modules.SubcategoryMethods method) FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.SubcategoryMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalBialgebrasWithBasis() (in module sage.categories.finite_dimensional_bialgebras_with_basis) FiniteDimensionalCoalgebrasWithBasis() (in module sage.categories.finite_dimensional_coalgebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.Subobjects (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.MorphismMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.TensorProducts (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalNilpotentLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis) FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.CartesianProducts (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.IsomorphicObjects.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteFields (class in sage.categories.finite_fields) FiniteFields.ElementMethods (class in sage.categories.finite_fields) FiniteFields.ParentMethods (class in sage.categories.finite_fields) FiniteGroups (class in sage.categories.finite_groups) FiniteGroups.Algebras (class in sage.categories.finite_groups) FiniteGroups.Algebras.ParentMethods (class in sage.categories.finite_groups) FiniteGroups.ElementMethods (class in sage.categories.finite_groups) FiniteGroups.ParentMethods (class in sage.categories.finite_groups) FiniteLatticePosets (class in sage.categories.finite_lattice_posets) FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets) FinitelyGenerated() (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.SubcategoryMethods method) (sage.categories.magmas.Magmas.SubcategoryMethods method) FinitelyGeneratedAsLambdaBracketAlgebra (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras attribute) (sage.categories.lie_conformal_algebras.LieConformalAlgebras attribute) FinitelyGeneratedAsLambdaBracketAlgebra() (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.SubcategoryMethods method) FinitelyGeneratedAsMagma (sage.categories.magmas.Magmas attribute) (sage.categories.semigroups.Semigroups attribute) FinitelyGeneratedAsMagma() (sage.categories.magmas.Magmas.SubcategoryMethods method) FinitelyGeneratedLambdaBracketAlgebras (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLambdaBracketAlgebras.Graded (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLambdaBracketAlgebras.ParentMethods (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLieConformalAlgebras (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Graded (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.ParentMethods (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Super (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Super.Graded (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedMagmas (class in sage.categories.finitely_generated_magmas) FinitelyGeneratedMagmas.ParentMethods (class in sage.categories.finitely_generated_magmas) FinitelyGeneratedSemigroups (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.Finite (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.Finite.ParentMethods (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.ParentMethods (class in sage.categories.finitely_generated_semigroups) FinitelyPresented() (sage.categories.modules.Modules.SubcategoryMethods method) FiniteMonoids (class in sage.categories.finite_monoids) FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids) FiniteMonoids.ParentMethods (class in sage.categories.finite_monoids) FinitePermutationGroups (class in sage.categories.finite_permutation_groups) FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups) FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups) FinitePosets (class in sage.categories.finite_posets) FinitePosets.ParentMethods (class in sage.categories.finite_posets) FiniteSemigroups (class in sage.categories.finite_semigroups) FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups) FiniteSets (class in sage.categories.finite_sets) FiniteSets.Algebras (class in sage.categories.finite_sets) FiniteSets.ParentMethods (class in sage.categories.finite_sets) FiniteSets.Subquotients (class in sage.categories.finite_sets) FiniteSetsOrderedByInclusion (class in sage.categories.examples.posets) FiniteSetsOrderedByInclusion.Element (class in sage.categories.examples.posets) FiniteWeylGroups (class in sage.categories.finite_weyl_groups) FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups) FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups) first() (sage.categories.enumerated_sets.EnumeratedSets.CartesianProducts.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.map.FormalCompositeMap method) first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) Flying() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) ForgetfulFunctor() (in module sage.categories.functor) ForgetfulFunctor_generic (class in sage.categories.functor) formal_series_ring() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) FormalCoercionMorphism (class in sage.categories.morphism) FormalCompositeMap (class in sage.categories.map) fraction_field() (sage.categories.fields.Fields.ParentMethods method) FractionField (class in sage.categories.pushout) free() (sage.categories.groups.Groups static method) (sage.categories.groups.Groups.Commutative static method) (sage.categories.monoids.Monoids static method) (sage.categories.monoids.Monoids.Commutative static method) free_graded_module() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) free_module() (sage.categories.rings.Rings.ParentMethods method) FreeAlgebra (class in sage.categories.examples.algebras_with_basis) FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids) FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids) FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups) FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups) FreeMagma (class in sage.categories.examples.magmas) FreeMagma.Element (class in sage.categories.examples.magmas) FreeMonoid (class in sage.categories.examples.monoids) FreeMonoid.Element (class in sage.categories.examples.monoids) FreeSemigroup (class in sage.categories.examples.semigroups) FreeSemigroup.Element (class in sage.categories.examples.semigroups) from_base_ring() (sage.categories.unital_algebras.UnitalAlgebras.ParentMethods method) (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method) from_base_ring_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method) from_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) from_reduced_word() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) from_set() (sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method) from_vector() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) full_super_categories() (sage.categories.category.Category method) fully_commutative_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) FunctionFields (class in sage.categories.function_fields) FunctionFields.ElementMethods (class in sage.categories.function_fields) FunctionFields.ParentMethods (class in sage.categories.function_fields) Functor (class in sage.categories.functor) FunctorialConstructionCategory (class in sage.categories.covariant_functorial_construction) fundamental_group() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) fuss_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
Index – F F (sage.categories.examples.with_realizations.SubsetAlgebra attribute) f() (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method) (sage.categories.examples.crystals.NaiveCrystal.Element method) (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ElementMethods method) (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ParentMethods method) f_on_basis() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods method) f_string() (sage.categories.crystals.Crystals.ElementMethods method) Facade (sage.categories.sets_cat.Sets attribute) Facade() (sage.categories.sets_cat.Sets.SubcategoryMethods method) facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method) (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) FacadeSets (class in sage.categories.facade_sets) FacadeSets.ParentMethods (class in sage.categories.facade_sets) faces() (sage.categories.graphs.Graphs.ParentMethods method) (sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method) facets() (sage.categories.graphs.Graphs.ParentMethods method) (sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method) factor() (sage.categories.fields.Fields.ElementMethods method) (sage.categories.quotient_fields.QuotientFields.ElementMethods method) fat_wedge() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method) Fields (class in sage.categories.fields) Fields.ElementMethods (class in sage.categories.fields) Fields.ParentMethods (class in sage.categories.fields) Filtered (sage.categories.algebras.Algebras attribute) (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute) (sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute) (sage.categories.modules.Modules attribute) (sage.categories.modules_with_basis.ModulesWithBasis attribute) Filtered() (sage.categories.modules.Modules.SubcategoryMethods method) FilteredAlgebras (class in sage.categories.filtered_algebras) FilteredAlgebras.ParentMethods (class in sage.categories.filtered_algebras) FilteredAlgebrasWithBasis (class in sage.categories.filtered_algebras_with_basis) FilteredAlgebrasWithBasis.ElementMethods (class in sage.categories.filtered_algebras_with_basis) FilteredAlgebrasWithBasis.ParentMethods (class in sage.categories.filtered_algebras_with_basis) FilteredModules (class in sage.categories.filtered_modules) FilteredModules.Connected (class in sage.categories.filtered_modules) FilteredModules.SubcategoryMethods (class in sage.categories.filtered_modules) FilteredModulesCategory (class in sage.categories.filtered_modules) FilteredModulesWithBasis (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.ElementMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.FiniteDimensional (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.FiniteDimensional.ParentMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.ParentMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects.ElementMethods (class in sage.categories.filtered_modules_with_basis) FilteredModulesWithBasis.Subobjects.ParentMethods (class in sage.categories.filtered_modules_with_basis) Finite (sage.categories.complex_reflection_groups.ComplexReflectionGroups attribute) (sage.categories.coxeter_groups.CoxeterGroups attribute) (sage.categories.crystals.Crystals attribute) (sage.categories.enumerated_sets.EnumeratedSets attribute) (sage.categories.fields.Fields attribute) (sage.categories.groups.Groups attribute) (sage.categories.lattice_posets.LatticePosets attribute) (sage.categories.monoids.Monoids attribute) (sage.categories.permutation_groups.PermutationGroups attribute) (sage.categories.posets.Posets attribute) (sage.categories.semigroups.Semigroups attribute) (sage.categories.sets_cat.Sets attribute) (sage.categories.weyl_groups.WeylGroups attribute) Finite() (sage.categories.sets_cat.Sets.SubcategoryMethods method) Finite_extra_super_categories() (sage.categories.division_rings.DivisionRings method) (sage.categories.h_trivial_semigroups.HTrivialSemigroups method) FiniteComplexReflectionGroups (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.ElementMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.Irreducible (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.SubcategoryMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.Irreducible (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteComplexReflectionGroups.WellGenerated.ParentMethods (class in sage.categories.finite_complex_reflection_groups) FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups) FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups) FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups) FiniteCrystals (class in sage.categories.finite_crystals) FiniteCrystals.TensorProducts (class in sage.categories.finite_crystals) FiniteDimensional (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute) (sage.categories.graded_lie_algebras_with_basis.GradedLieAlgebrasWithBasis attribute) (sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute) (sage.categories.modules_with_basis.ModulesWithBasis attribute) FiniteDimensional() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) (sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method) (sage.categories.manifolds.Manifolds.SubcategoryMethods method) (sage.categories.modules.Modules.SubcategoryMethods method) FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalAlgebrasWithBasis.SubcategoryMethods (class in sage.categories.finite_dimensional_algebras_with_basis) FiniteDimensionalBialgebrasWithBasis() (in module sage.categories.finite_dimensional_bialgebras_with_basis) FiniteDimensionalCoalgebrasWithBasis() (in module sage.categories.finite_dimensional_coalgebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.Subobjects (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis) FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.MorphismMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalModulesWithBasis.TensorProducts (class in sage.categories.finite_dimensional_modules_with_basis) FiniteDimensionalNilpotentLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis) FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis) FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.CartesianProducts (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.IsomorphicObjects.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets) FiniteFields (class in sage.categories.finite_fields) FiniteFields.ElementMethods (class in sage.categories.finite_fields) FiniteFields.ParentMethods (class in sage.categories.finite_fields) FiniteGroups (class in sage.categories.finite_groups) FiniteGroups.Algebras (class in sage.categories.finite_groups) FiniteGroups.Algebras.ParentMethods (class in sage.categories.finite_groups) FiniteGroups.ElementMethods (class in sage.categories.finite_groups) FiniteGroups.ParentMethods (class in sage.categories.finite_groups) FiniteLatticePosets (class in sage.categories.finite_lattice_posets) FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets) FinitelyGenerated() (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.SubcategoryMethods method) (sage.categories.magmas.Magmas.SubcategoryMethods method) FinitelyGeneratedAsLambdaBracketAlgebra (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras attribute) (sage.categories.lie_conformal_algebras.LieConformalAlgebras attribute) FinitelyGeneratedAsLambdaBracketAlgebra() (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.SubcategoryMethods method) FinitelyGeneratedAsMagma (sage.categories.magmas.Magmas attribute) (sage.categories.semigroups.Semigroups attribute) FinitelyGeneratedAsMagma() (sage.categories.magmas.Magmas.SubcategoryMethods method) FinitelyGeneratedLambdaBracketAlgebras (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLambdaBracketAlgebras.Graded (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLambdaBracketAlgebras.ParentMethods (class in sage.categories.finitely_generated_lambda_bracket_algebras) FinitelyGeneratedLieConformalAlgebras (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Graded (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.ParentMethods (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Super (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedLieConformalAlgebras.Super.Graded (class in sage.categories.finitely_generated_lie_conformal_algebras) FinitelyGeneratedMagmas (class in sage.categories.finitely_generated_magmas) FinitelyGeneratedMagmas.ParentMethods (class in sage.categories.finitely_generated_magmas) FinitelyGeneratedSemigroups (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.Finite (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.Finite.ParentMethods (class in sage.categories.finitely_generated_semigroups) FinitelyGeneratedSemigroups.ParentMethods (class in sage.categories.finitely_generated_semigroups) FinitelyPresented() (sage.categories.modules.Modules.SubcategoryMethods method) FiniteMonoids (class in sage.categories.finite_monoids) FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids) FiniteMonoids.ParentMethods (class in sage.categories.finite_monoids) FinitePermutationGroups (class in sage.categories.finite_permutation_groups) FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups) FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups) FinitePosets (class in sage.categories.finite_posets) FinitePosets.ParentMethods (class in sage.categories.finite_posets) FiniteSemigroups (class in sage.categories.finite_semigroups) FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups) FiniteSets (class in sage.categories.finite_sets) FiniteSets.Algebras (class in sage.categories.finite_sets) FiniteSets.ParentMethods (class in sage.categories.finite_sets) FiniteSets.Subquotients (class in sage.categories.finite_sets) FiniteSetsOrderedByInclusion (class in sage.categories.examples.posets) FiniteSetsOrderedByInclusion.Element (class in sage.categories.examples.posets) FiniteWeylGroups (class in sage.categories.finite_weyl_groups) FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups) FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups) first() (sage.categories.enumerated_sets.EnumeratedSets.CartesianProducts.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.map.FormalCompositeMap method) first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) Flying() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) ForgetfulFunctor() (in module sage.categories.functor) ForgetfulFunctor_generic (class in sage.categories.functor) formal_series_ring() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) FormalCoercionMorphism (class in sage.categories.morphism) FormalCompositeMap (class in sage.categories.map) fraction_field() (sage.categories.fields.Fields.ParentMethods method) FractionField (class in sage.categories.pushout) free() (sage.categories.groups.Groups static method) (sage.categories.groups.Groups.Commutative static method) (sage.categories.monoids.Monoids static method) (sage.categories.monoids.Monoids.Commutative static method) free_graded_module() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) free_module() (sage.categories.rings.Rings.ParentMethods method) FreeAlgebra (class in sage.categories.examples.algebras_with_basis) FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids) FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids) FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups) FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups) FreeMagma (class in sage.categories.examples.magmas) FreeMagma.Element (class in sage.categories.examples.magmas) FreeMonoid (class in sage.categories.examples.monoids) FreeMonoid.Element (class in sage.categories.examples.monoids) FreeSemigroup (class in sage.categories.examples.semigroups) FreeSemigroup.Element (class in sage.categories.examples.semigroups) from_base_ring() (sage.categories.unital_algebras.UnitalAlgebras.ParentMethods method) (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method) from_base_ring_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method) from_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) from_reduced_word() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) from_set() (sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method) from_vector() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) full_super_categories() (sage.categories.category.Category method) fully_commutative_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) FunctionFields (class in sage.categories.function_fields) FunctionFields.ElementMethods (class in sage.categories.function_fields) FunctionFields.ParentMethods (class in sage.categories.function_fields) Functor (class in sage.categories.functor) FunctorialConstructionCategory (class in sage.categories.covariant_functorial_construction) fundamental_group() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) fuss_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)