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Sage 9.5 Reference Manual: Category Framework
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Index
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)
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.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method)
inverse() (sage.categories.map.Section 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_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)
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