Index – I ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method) (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.rings.Rings.ParentMethods method) ideal_monoid() (sage.categories.rings.Rings.ParentMethods method) idempotent_lift() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method) IdempotentSemigroups (class in sage.categories.examples.semigroups_cython) IdempotentSemigroups.ElementMethods (class in sage.categories.examples.semigroups_cython) identity() (sage.categories.homset.Homset method) IdentityConstructionFunctor (class in sage.categories.pushout) IdentityFunctor() (in module sage.categories.functor) IdentityFunctor_generic (class in sage.categories.functor) IdentityMorphism (class in sage.categories.morphism) im_gens() (sage.categories.crystals.CrystalMorphismByGenerators method) image() (sage.categories.crystals.CrystalMorphismByGenerators method) (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method) (sage.categories.sets_cat.Sets.MorphismMethods method) image_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method) IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups) IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups) index() (sage.categories.lambda_bracket_algebras_with_basis.LambdaBracketAlgebrasWithBasis.ElementMethods method) index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.examples.finite_coxeter_groups.DihedralGroup method) (sage.categories.examples.finite_weyl_groups.SymmetricGroup method) (sage.categories.quantum_group_representations.QuantumGroupRepresentations.ParentMethods method) IndexedPolynomialRing (class in sage.categories.examples.lie_algebras_with_basis) indices() (sage.categories.examples.with_realizations.SubsetAlgebra method) indices_key() (sage.categories.examples.with_realizations.SubsetAlgebra method) induced_graded_map() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) Infinite (sage.categories.enumerated_sets.EnumeratedSets attribute) Infinite() (sage.categories.sets_cat.Sets.SubcategoryMethods method) InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets) InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets) InfinitePolynomialFunctor (class in sage.categories.pushout) inject_shorthands() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) inner_derivations_basis() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) IntegerModMonoid (class in sage.categories.examples.finite_monoids) IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids) IntegersCompletion (class in sage.categories.examples.facade_sets) IntegralDomains (class in sage.categories.integral_domains) IntegralDomains.ElementMethods (class in sage.categories.integral_domains) IntegralDomains.ParentMethods (class in sage.categories.integral_domains) invariant_module() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method) Inverse (sage.categories.monoids.Monoids attribute) Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method) inverse() (sage.categories.map.Section method) (sage.categories.monoids.Monoids.ElementMethods method) Inverse_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method) inverse_of_unit() (sage.categories.fields.Fields.ElementMethods method) (sage.categories.rings.Rings.ElementMethods method) InverseAction (class in sage.categories.action) inversion_arrangement() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) inversion_sequence() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) Irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.SubcategoryMethods method) irreducible_component_index_sets() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) irreducible_components() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.Irreducible.ParentMethods method) (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method) is_abelian() (sage.categories.category.Category method) (sage.categories.category_types.AbelianCategory method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis method) (sage.categories.vector_spaces.VectorSpaces.WithBasis method) is_affine_grassmannian() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method) is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method) is_Category() (in module sage.categories.category) is_central() (sage.categories.monoids.Monoids.Algebras.ElementMethods method) is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method) is_commutative() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.magmas.Magmas.Commutative.ParentMethods method) is_connected() (sage.categories.crystals.Crystals.ParentMethods method) is_construction_defined_by_base() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory method) is_coxeter_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method) is_coxeter_sortable() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_embedding() (sage.categories.crystals.Crystals.MorphismMethods method) is_empty() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.magmas.Magmas.Unital.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Infinite.ParentMethods method) is_endomorphism() (sage.categories.morphism.Morphism method) is_endomorphism_set() (sage.categories.homsets.Homsets.Endset.ParentMethods method) (sage.categories.homsets.Homsets.ParentMethods method) is_Endset() (in module sage.categories.homset) is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method) is_even() (sage.categories.super_modules.SuperModules.ElementMethods method) is_even_odd() (sage.categories.lie_conformal_algebras.LieConformalAlgebras.ElementMethods method) (sage.categories.super_lie_conformal_algebras.SuperLieConformalAlgebras.ElementMethods method) (sage.categories.super_modules.SuperModules.ElementMethods method) (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method) is_field() (sage.categories.fields.Fields.ParentMethods method) (sage.categories.magmas.Magmas.Algebras.ParentMethods method) is_finite() (sage.categories.finite_sets.FiniteSets.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Infinite.ParentMethods method) (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method) is_full_subcategory() (sage.categories.category.Category method) is_fully_commutative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_Functor() (in module sage.categories.functor) is_genuine_highest_weight() (sage.categories.supercrystals.SuperCrystals.Finite.ElementMethods method) is_genuine_lowest_weight() (sage.categories.supercrystals.SuperCrystals.Finite.ElementMethods method) is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_grouplike() (sage.categories.bialgebras.Bialgebras.ElementMethods method) is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method) is_homogeneous() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method) is_Homset() (in module sage.categories.homset) is_ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method) (sage.categories.examples.semigroups_cython.IdempotentSemigroups.ElementMethods method) (sage.categories.magmas.Magmas.ElementMethods method) is_identity() (sage.categories.morphism.IdentityMorphism method) (sage.categories.morphism.Morphism method) is_identity_decomposition_into_orthogonal_idempotents() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) is_injective() (sage.categories.crystals.CrystalMorphism method) (sage.categories.map.FormalCompositeMap method) (sage.categories.morphism.IdentityMorphism method) (sage.categories.rings.Rings.MorphismMethods method) (sage.categories.sets_cat.Sets.MorphismMethods method) is_integral_domain() (sage.categories.group_algebras.GroupAlgebras.ParentMethods method) (sage.categories.integral_domains.IntegralDomains.ParentMethods method) is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method) is_irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) is_isomorphism() (sage.categories.crystals.Crystals.MorphismMethods method) (sage.categories.regular_crystals.RegularCrystals.MorphismMethods method) is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method) is_left() (sage.categories.action.Action method) is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method) is_Map() (in module sage.categories.map) is_Morphism() (in module sage.categories.morphism) is_nilpotent() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis.FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.Nilpotent.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_odd() (sage.categories.super_modules.SuperModules.ElementMethods method) is_one() (sage.categories.monoids.Monoids.ElementMethods method) is_order_filter() (sage.categories.posets.Posets.ParentMethods method) is_order_ideal() (sage.categories.posets.Posets.ParentMethods method) is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method) (sage.categories.sets_cat.Sets.ParentMethods method) is_perfect() (sage.categories.fields.Fields.ParentMethods method) (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) is_pointed() (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method) is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method) is_primitive() (sage.categories.bialgebras.Bialgebras.ElementMethods method) is_real() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) is_reducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) is_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method) is_ring() (sage.categories.rings.Rings.ParentMethods method) is_self_dual() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_semisimple() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) is_simply_connected() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) is_solvable() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_strict() (sage.categories.crystals.Crystals.MorphismMethods method) is_subcategory() (sage.categories.category.Category method) (sage.categories.category.JoinCategory method) is_super_homogeneous() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method) is_surjective() (sage.categories.crystals.CrystalMorphism method) (sage.categories.map.FormalCompositeMap method) (sage.categories.map.Map method) (sage.categories.morphism.IdentityMorphism method) is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method) is_unit() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method) (sage.categories.fields.Fields.ElementMethods method) (sage.categories.rings.Rings.ElementMethods method) is_well_generated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method) is_zero() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method) (sage.categories.rings.Rings.ParentMethods method) IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets) IsomorphicObjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method) IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects) isotypic_projective_modules() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) iterator_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
Index – I ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method) (sage.categories.lambda_bracket_algebras.LambdaBracketAlgebras.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.rings.Rings.ParentMethods method) ideal_monoid() (sage.categories.rings.Rings.ParentMethods method) idempotent_lift() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method) IdempotentSemigroups (class in sage.categories.examples.semigroups_cython) IdempotentSemigroups.ElementMethods (class in sage.categories.examples.semigroups_cython) identity() (sage.categories.homset.Homset method) IdentityConstructionFunctor (class in sage.categories.pushout) IdentityFunctor() (in module sage.categories.functor) IdentityFunctor_generic (class in sage.categories.functor) IdentityMorphism (class in sage.categories.morphism) im_gens() (sage.categories.crystals.CrystalMorphismByGenerators method) image() (sage.categories.crystals.CrystalMorphismByGenerators method) (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method) (sage.categories.sets_cat.Sets.MorphismMethods method) image_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method) IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups) IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups) index() (sage.categories.lambda_bracket_algebras_with_basis.LambdaBracketAlgebrasWithBasis.ElementMethods method) index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.examples.finite_coxeter_groups.DihedralGroup method) (sage.categories.examples.finite_weyl_groups.SymmetricGroup method) (sage.categories.quantum_group_representations.QuantumGroupRepresentations.ParentMethods method) IndexedPolynomialRing (class in sage.categories.examples.lie_algebras_with_basis) indices() (sage.categories.examples.with_realizations.SubsetAlgebra method) indices_key() (sage.categories.examples.with_realizations.SubsetAlgebra method) induced_graded_map() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) Infinite (sage.categories.enumerated_sets.EnumeratedSets attribute) Infinite() (sage.categories.sets_cat.Sets.SubcategoryMethods method) InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets) InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets) InfinitePolynomialFunctor (class in sage.categories.pushout) inject_shorthands() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) inner_derivations_basis() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) IntegerModMonoid (class in sage.categories.examples.finite_monoids) IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids) IntegersCompletion (class in sage.categories.examples.facade_sets) IntegralDomains (class in sage.categories.integral_domains) IntegralDomains.ElementMethods (class in sage.categories.integral_domains) IntegralDomains.ParentMethods (class in sage.categories.integral_domains) invariant_module() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method) Inverse (sage.categories.monoids.Monoids attribute) Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method) inverse() (sage.categories.map.Section method) (sage.categories.monoids.Monoids.ElementMethods method) Inverse_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method) inverse_of_unit() (sage.categories.fields.Fields.ElementMethods method) (sage.categories.rings.Rings.ElementMethods method) InverseAction (class in sage.categories.action) inversion_arrangement() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) inversion_sequence() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) Irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.SubcategoryMethods method) irreducible_component_index_sets() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) irreducible_components() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.Irreducible.ParentMethods method) (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method) is_abelian() (sage.categories.category.Category method) (sage.categories.category_types.AbelianCategory method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis method) (sage.categories.vector_spaces.VectorSpaces.WithBasis method) is_affine_grassmannian() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method) is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method) is_Category() (in module sage.categories.category) is_central() (sage.categories.monoids.Monoids.Algebras.ElementMethods method) is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method) is_commutative() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.magmas.Magmas.Commutative.ParentMethods method) is_connected() (sage.categories.crystals.Crystals.ParentMethods method) is_construction_defined_by_base() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory method) is_coxeter_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method) is_coxeter_sortable() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_embedding() (sage.categories.crystals.Crystals.MorphismMethods method) is_empty() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.magmas.Magmas.Unital.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Infinite.ParentMethods method) is_endomorphism() (sage.categories.morphism.Morphism method) is_endomorphism_set() (sage.categories.homsets.Homsets.Endset.ParentMethods method) (sage.categories.homsets.Homsets.ParentMethods method) is_Endset() (in module sage.categories.homset) is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method) is_even() (sage.categories.super_modules.SuperModules.ElementMethods method) is_even_odd() (sage.categories.lie_conformal_algebras.LieConformalAlgebras.ElementMethods method) (sage.categories.super_lie_conformal_algebras.SuperLieConformalAlgebras.ElementMethods method) (sage.categories.super_modules.SuperModules.ElementMethods method) (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method) is_field() (sage.categories.fields.Fields.ParentMethods method) (sage.categories.magmas.Magmas.Algebras.ParentMethods method) is_finite() (sage.categories.finite_sets.FiniteSets.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Infinite.ParentMethods method) (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method) is_full_subcategory() (sage.categories.category.Category method) is_fully_commutative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_Functor() (in module sage.categories.functor) is_genuine_highest_weight() (sage.categories.supercrystals.SuperCrystals.Finite.ElementMethods method) is_genuine_lowest_weight() (sage.categories.supercrystals.SuperCrystals.Finite.ElementMethods method) is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) is_grouplike() (sage.categories.bialgebras.Bialgebras.ElementMethods method) is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method) is_homogeneous() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method) is_Homset() (in module sage.categories.homset) is_ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method) (sage.categories.examples.semigroups_cython.IdempotentSemigroups.ElementMethods method) (sage.categories.magmas.Magmas.ElementMethods method) is_identity() (sage.categories.morphism.IdentityMorphism method) (sage.categories.morphism.Morphism method) is_identity_decomposition_into_orthogonal_idempotents() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) is_injective() (sage.categories.crystals.CrystalMorphism method) (sage.categories.map.FormalCompositeMap method) (sage.categories.morphism.IdentityMorphism method) (sage.categories.rings.Rings.MorphismMethods method) (sage.categories.sets_cat.Sets.MorphismMethods method) is_integral_domain() (sage.categories.group_algebras.GroupAlgebras.ParentMethods method) (sage.categories.integral_domains.IntegralDomains.ParentMethods method) is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method) is_irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) is_isomorphism() (sage.categories.crystals.Crystals.MorphismMethods method) (sage.categories.regular_crystals.RegularCrystals.MorphismMethods method) is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method) is_left() (sage.categories.action.Action method) is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method) is_Map() (in module sage.categories.map) is_Morphism() (in module sage.categories.morphism) is_nilpotent() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis.FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.Nilpotent.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_odd() (sage.categories.super_modules.SuperModules.ElementMethods method) is_one() (sage.categories.monoids.Monoids.ElementMethods method) is_order_filter() (sage.categories.posets.Posets.ParentMethods method) is_order_ideal() (sage.categories.posets.Posets.ParentMethods method) is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method) (sage.categories.sets_cat.Sets.ParentMethods method) is_perfect() (sage.categories.fields.Fields.ParentMethods method) (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) is_pointed() (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method) is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method) is_primitive() (sage.categories.bialgebras.Bialgebras.ElementMethods method) is_real() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) is_reducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) is_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method) is_ring() (sage.categories.rings.Rings.ParentMethods method) is_self_dual() (sage.categories.finite_posets.FinitePosets.ParentMethods method) is_semisimple() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) is_simply_connected() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) is_solvable() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) is_strict() (sage.categories.crystals.Crystals.MorphismMethods method) is_subcategory() (sage.categories.category.Category method) (sage.categories.category.JoinCategory method) is_super_homogeneous() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method) is_surjective() (sage.categories.crystals.CrystalMorphism method) (sage.categories.map.FormalCompositeMap method) (sage.categories.map.Map method) (sage.categories.morphism.IdentityMorphism method) is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method) is_unit() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method) (sage.categories.fields.Fields.ElementMethods method) (sage.categories.rings.Rings.ElementMethods method) is_well_generated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method) is_zero() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method) (sage.categories.rings.Rings.ParentMethods method) IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets) IsomorphicObjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method) IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects) isotypic_projective_modules() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) iterator_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)