Index – R r() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) R_matrix() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ElementMethods method) radical_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method) (sage.categories.semisimple_algebras.SemisimpleAlgebras.ParentMethods method) random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method) (sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) rank (sage.categories.pushout.AlgebraicClosureFunctor attribute) (sage.categories.pushout.AlgebraicExtensionFunctor attribute) (sage.categories.pushout.BlackBoxConstructionFunctor attribute) (sage.categories.pushout.CompletionFunctor attribute) (sage.categories.pushout.FractionField attribute) (sage.categories.pushout.IdentityConstructionFunctor attribute) (sage.categories.pushout.InfinitePolynomialFunctor attribute) (sage.categories.pushout.LaurentPolynomialFunctor attribute) (sage.categories.pushout.MatrixFunctor attribute) (sage.categories.pushout.MultiPolynomialFunctor attribute) (sage.categories.pushout.PermutationGroupFunctor attribute) (sage.categories.pushout.PolynomialFunctor attribute) (sage.categories.pushout.QuotientFunctor attribute) (sage.categories.pushout.SubspaceFunctor attribute) (sage.categories.pushout.VectorFunctor attribute) rank() (sage.categories.complex_reflection_groups.ComplexReflectionGroups.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) rational_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method) realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method) Realizations() (in module sage.categories.realizations) (sage.categories.category.Category method) realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) RealizationsCategory (class in sage.categories.realizations) reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_word_graph() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words_iter() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflection_index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflection_length() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method) (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method) reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflections_from_w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) register_as_coercion() (sage.categories.morphism.Morphism method) register_as_conversion() (sage.categories.morphism.Morphism method) RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction) regular_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) RegularCrystals (class in sage.categories.regular_crystals) RegularCrystals.ElementMethods (class in sage.categories.regular_crystals) RegularCrystals.MorphismMethods (class in sage.categories.regular_crystals) RegularCrystals.ParentMethods (class in sage.categories.regular_crystals) RegularCrystals.TensorProducts (class in sage.categories.regular_crystals) RegularLoopCrystals (class in sage.categories.loop_crystals) RegularLoopCrystals.ElementMethods (class in sage.categories.loop_crystals) RegularSuperCrystals (class in sage.categories.regular_supercrystals) RegularSuperCrystals.ElementMethods (class in sage.categories.regular_supercrystals) RegularSuperCrystals.TensorProducts (class in sage.categories.regular_supercrystals) required_methods() (sage.categories.category.Category method) residue_field() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method) (sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method) retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method) (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method) (sage.categories.sets_cat.Sets.Subquotients.ParentMethods method) reversed() (sage.categories.homset.Homset method) rhodes_radical_congruence() (sage.categories.finite_monoids.FiniteMonoids.ParentMethods method) right_base_ring() (sage.categories.bimodules.Bimodules method) right_domain() (sage.categories.action.Action method) right_precomposition (sage.categories.action.PrecomposedAction attribute) RightModules (class in sage.categories.right_modules) RightModules.ElementMethods (class in sage.categories.right_modules) RightModules.ParentMethods (class in sage.categories.right_modules) ring() (sage.categories.category_types.Category_ideal method) RingIdeals (class in sage.categories.ring_ideals) Rings (class in sage.categories.rings) Rings.ElementMethods (class in sage.categories.rings) Rings.MorphismMethods (class in sage.categories.rings) Rings.ParentMethods (class in sage.categories.rings) Rings.SubcategoryMethods (class in sage.categories.rings) Rngs (class in sage.categories.rngs) rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits_plots() (sage.categories.finite_posets.FinitePosets.ParentMethods method) RTrivial (sage.categories.semigroups.Semigroups attribute) RTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method) RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method) RTrivialSemigroups (class in sage.categories.r_trivial_semigroups)
Index – R r() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) R_matrix() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ElementMethods method) radical_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method) (sage.categories.semisimple_algebras.SemisimpleAlgebras.ParentMethods method) random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method) (sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) rank (sage.categories.pushout.AlgebraicClosureFunctor attribute) (sage.categories.pushout.AlgebraicExtensionFunctor attribute) (sage.categories.pushout.BlackBoxConstructionFunctor attribute) (sage.categories.pushout.CompletionFunctor attribute) (sage.categories.pushout.FractionField attribute) (sage.categories.pushout.IdentityConstructionFunctor attribute) (sage.categories.pushout.InfinitePolynomialFunctor attribute) (sage.categories.pushout.LaurentPolynomialFunctor attribute) (sage.categories.pushout.MatrixFunctor attribute) (sage.categories.pushout.MultiPolynomialFunctor attribute) (sage.categories.pushout.PermutationGroupFunctor attribute) (sage.categories.pushout.PolynomialFunctor attribute) (sage.categories.pushout.QuotientFunctor attribute) (sage.categories.pushout.SubspaceFunctor attribute) (sage.categories.pushout.VectorFunctor attribute) rank() (sage.categories.complex_reflection_groups.ComplexReflectionGroups.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) rational_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method) realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method) Realizations() (in module sage.categories.realizations) (sage.categories.category.Category method) realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) RealizationsCategory (class in sage.categories.realizations) reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_word_graph() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words_iter() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflection_index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflection_length() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method) (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method) reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) reflections_from_w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) register_as_coercion() (sage.categories.morphism.Morphism method) register_as_conversion() (sage.categories.morphism.Morphism method) RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction) regular_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) RegularCrystals (class in sage.categories.regular_crystals) RegularCrystals.ElementMethods (class in sage.categories.regular_crystals) RegularCrystals.MorphismMethods (class in sage.categories.regular_crystals) RegularCrystals.ParentMethods (class in sage.categories.regular_crystals) RegularCrystals.TensorProducts (class in sage.categories.regular_crystals) RegularLoopCrystals (class in sage.categories.loop_crystals) RegularLoopCrystals.ElementMethods (class in sage.categories.loop_crystals) RegularSuperCrystals (class in sage.categories.regular_supercrystals) RegularSuperCrystals.ElementMethods (class in sage.categories.regular_supercrystals) RegularSuperCrystals.TensorProducts (class in sage.categories.regular_supercrystals) required_methods() (sage.categories.category.Category method) residue_field() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method) (sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method) retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method) (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method) (sage.categories.sets_cat.Sets.Subquotients.ParentMethods method) reversed() (sage.categories.homset.Homset method) rhodes_radical_congruence() (sage.categories.finite_monoids.FiniteMonoids.ParentMethods method) right_base_ring() (sage.categories.bimodules.Bimodules method) right_domain() (sage.categories.action.Action method) right_precomposition (sage.categories.action.PrecomposedAction attribute) RightModules (class in sage.categories.right_modules) RightModules.ElementMethods (class in sage.categories.right_modules) RightModules.ParentMethods (class in sage.categories.right_modules) ring() (sage.categories.category_types.Category_ideal method) RingIdeals (class in sage.categories.ring_ideals) Rings (class in sage.categories.rings) Rings.ElementMethods (class in sage.categories.rings) Rings.MorphismMethods (class in sage.categories.rings) Rings.ParentMethods (class in sage.categories.rings) Rings.SubcategoryMethods (class in sage.categories.rings) Rngs (class in sage.categories.rngs) rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits_plots() (sage.categories.finite_posets.FinitePosets.ParentMethods method) RTrivial (sage.categories.semigroups.Semigroups attribute) RTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method) RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method) RTrivialSemigroups (class in sage.categories.r_trivial_semigroups)