Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Simple_module> ?p ?o }
- Simple_module abstract "In mathematics, specifically in ring theory, the simple modules over a ring R are the (left or right) modules over R that have no non-zero proper submodules. Equivalently, a module M is simple if and only if every cyclic submodule generated by a non-zero element of M equals M. Simple modules form building blocks for the modules of finite length, and they are analogous to the simple groups in group theory.In this article, all modules will be assumed to be right unital modules over a ring R.".
- Simple_module wikiPageID "29430".
- Simple_module wikiPageLength "8641".
- Simple_module wikiPageOutDegree "64".
- Simple_module wikiPageRevisionID "597993838".
- Simple_module wikiPageWikiLink Artinian_ring.
- Simple_module wikiPageWikiLink Artin–Wedderburn_theorem.
- Simple_module wikiPageWikiLink Auslander–Reiten_theory.
- Simple_module wikiPageWikiLink Brauer_character.
- Simple_module wikiPageWikiLink Category:Module_theory.
- Simple_module wikiPageWikiLink Category:Representation_theory.
- Simple_module wikiPageWikiLink Character_theory.
- Simple_module wikiPageWikiLink Composition_series.
- Simple_module wikiPageWikiLink Cyclic_group.
- Simple_module wikiPageWikiLink Cyclic_module.
- Simple_module wikiPageWikiLink Direct_sum_of_modules.
- Simple_module wikiPageWikiLink Division_ring.
- Simple_module wikiPageWikiLink Endomorphism.
- Simple_module wikiPageWikiLink Endomorphism_ring.
- Simple_module wikiPageWikiLink Exact_sequence.
- Simple_module wikiPageWikiLink Ext_functor.
- Simple_module wikiPageWikiLink Field_(mathematics).
- Simple_module wikiPageWikiLink Finite_group.
- Simple_module wikiPageWikiLink Fitting_lemma.
- Simple_module wikiPageWikiLink Grothendieck_group.
- Simple_module wikiPageWikiLink Group_(mathematics).
- Simple_module wikiPageWikiLink Group_representation.
- Simple_module wikiPageWikiLink Group_ring.
- Simple_module wikiPageWikiLink If_and_only_if.
- Simple_module wikiPageWikiLink Image_(mathematics).
- Simple_module wikiPageWikiLink Indecomposable_module.
- Simple_module wikiPageWikiLink Injective.
- Simple_module wikiPageWikiLink Injective_function.
- Simple_module wikiPageWikiLink Integer.
- Simple_module wikiPageWikiLink Irreducible_ideal.
- Simple_module wikiPageWikiLink Irreducible_representation.
- Simple_module wikiPageWikiLink Jacobson_density_theorem.
- Simple_module wikiPageWikiLink Jordan–Hölder_theorem.
- Simple_module wikiPageWikiLink Kernel_(algebra).
- Simple_module wikiPageWikiLink Krull-Schmidt_category.
- Simple_module wikiPageWikiLink Krull-Schmidt_theorem.
- Simple_module wikiPageWikiLink Krull–Schmidt_category.
- Simple_module wikiPageWikiLink Krull–Schmidt_theorem.
- Simple_module wikiPageWikiLink Left_module.
- Simple_module wikiPageWikiLink Length_of_a_module.
- Simple_module wikiPageWikiLink Local_ring.
- Simple_module wikiPageWikiLink Mathematics.
- Simple_module wikiPageWikiLink Maximal_ideal.
- Simple_module wikiPageWikiLink Modular_representation_theory.
- Simple_module wikiPageWikiLink Module_(mathematics).
- Simple_module wikiPageWikiLink Module_homomorphism.
- Simple_module wikiPageWikiLink Order_(group_theory).
- Simple_module wikiPageWikiLink Ordinary_character_theory.
- Simple_module wikiPageWikiLink Prime_number.
- Simple_module wikiPageWikiLink Primitive_ring.
- Simple_module wikiPageWikiLink Quiver_(mathematics).
- Simple_module wikiPageWikiLink Rational_number.
- Simple_module wikiPageWikiLink Representation_theory.
- Simple_module wikiPageWikiLink Ring_theory.
- Simple_module wikiPageWikiLink Schreier_refinement_theorem.
- Simple_module wikiPageWikiLink Schurs_lemma.
- Simple_module wikiPageWikiLink Semisimple_module.
- Simple_module wikiPageWikiLink Semisimple_ring.
- Simple_module wikiPageWikiLink Short_exact_sequence.
- Simple_module wikiPageWikiLink Simple_group.
- Simple_module wikiPageWikiLink Simple_ring.
- Simple_module wikiPageWikiLink Surjective.
- Simple_module wikiPageWikiLink Surjective_function.
- Simple_module wikiPageWikiLink Unital_module.
- Simple_module wikiPageWikiLinkText "Simple module".
- Simple_module wikiPageWikiLinkText "irreducible modules".
- Simple_module wikiPageWikiLinkText "irreducible representation".
- Simple_module wikiPageWikiLinkText "irreducible".
- Simple_module wikiPageWikiLinkText "simple module".
- Simple_module wikiPageWikiLinkText "simple".
- Simple_module hasPhotoCollection Simple_module.
- Simple_module wikiPageUsesTemplate Template:Main.
- Simple_module wikiPageUsesTemplate Template:Nowrap_begin.
- Simple_module wikiPageUsesTemplate Template:Nowrap_end.
- Simple_module wikiPageUsesTemplate Template:Reflist.
- Simple_module subject Category:Module_theory.
- Simple_module subject Category:Representation_theory.
- Simple_module hypernym Modules.
- Simple_module type InformationAppliance.
- Simple_module type Field.
- Simple_module comment "In mathematics, specifically in ring theory, the simple modules over a ring R are the (left or right) modules over R that have no non-zero proper submodules. Equivalently, a module M is simple if and only if every cyclic submodule generated by a non-zero element of M equals M. Simple modules form building blocks for the modules of finite length, and they are analogous to the simple groups in group theory.In this article, all modules will be assumed to be right unital modules over a ring R.".
- Simple_module label "Simple module".
- Simple_module sameAs Einfacher_Modul.
- Simple_module sameAs Yksinkertainen_moduli.
- Simple_module sameAs Module_simple.
- Simple_module sameAs מודול_פשוט.
- Simple_module sameAs 単純加群.
- Simple_module sameAs 단순_가군.
- Simple_module sameAs Módulo_simples.
- Simple_module sameAs m.07900.
- Simple_module sameAs Простой_модуль.
- Simple_module sameAs Enkel_modul.
- Simple_module sameAs Простий_модуль.
- Simple_module sameAs Q956233.
- Simple_module sameAs Q956233.