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- Finitely_generated_module abstract "In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R-module also may be called a finite R-module,finite over R, or a module of finite type.Related concepts include finitely cogenerated modules, finitely presented modules, finitely related modules and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent modules coincide.A finitely generated module over a field is simply a finite-dimensional vector space, and a finitely generated module over the integers is simply a finitely generated abelian group.".
- Finitely_generated_module wikiPageID "326430".
- Finitely_generated_module wikiPageLength "18027".
- Finitely_generated_module wikiPageOutDegree "79".
- Finitely_generated_module wikiPageRevisionID "694433409".
- Finitely_generated_module wikiPageWikiLink Abelian_category.
- Finitely_generated_module wikiPageWikiLink Addison-Wesley.
- Finitely_generated_module wikiPageWikiLink Artinian_module.
- Finitely_generated_module wikiPageWikiLink Artin–Rees_lemma.
- Finitely_generated_module wikiPageWikiLink Automorphism.
- Finitely_generated_module wikiPageWikiLink Category:Module_theory.
- Finitely_generated_module wikiPageWikiLink Category_(mathematics).
- Finitely_generated_module wikiPageWikiLink Coherent_ring.
- Finitely_generated_module wikiPageWikiLink Countable_set.
- Finitely_generated_module wikiPageWikiLink Countably_generated_module.
- Finitely_generated_module wikiPageWikiLink Cyclic_module.
- Finitely_generated_module wikiPageWikiLink Dedekind_domain.
- Finitely_generated_module wikiPageWikiLink Dimension_(vector_space).
- Finitely_generated_module wikiPageWikiLink Dimension_theorem_for_vector_spaces.
- Finitely_generated_module wikiPageWikiLink Direct_limit.
- Finitely_generated_module wikiPageWikiLink Division_ring.
- Finitely_generated_module wikiPageWikiLink Duality_(mathematics).
- Finitely_generated_module wikiPageWikiLink Epimorphism.
- Finitely_generated_module wikiPageWikiLink Essential_extension.
- Finitely_generated_module wikiPageWikiLink Field_(mathematics).
- Finitely_generated_module wikiPageWikiLink Finitely_generated_abelian_group.
- Finitely_generated_module wikiPageWikiLink Finitely_generated_algebra.
- Finitely_generated_module wikiPageWikiLink Flat_module.
- Finitely_generated_module wikiPageWikiLink Fractional_ideal.
- Finitely_generated_module wikiPageWikiLink Generator_(mathematics).
- Finitely_generated_module wikiPageWikiLink Generic_flatness.
- Finitely_generated_module wikiPageWikiLink Hereditary_ring.
- Finitely_generated_module wikiPageWikiLink Hilberts_basis_theorem.
- Finitely_generated_module wikiPageWikiLink Hilbert–Poincaré_series.
- Finitely_generated_module wikiPageWikiLink Hopfian_object.
- Finitely_generated_module wikiPageWikiLink Injective_function.
- Finitely_generated_module wikiPageWikiLink Integer.
- Finitely_generated_module wikiPageWikiLink Integral_element.
- Finitely_generated_module wikiPageWikiLink Jacobson_radical.
- Finitely_generated_module wikiPageWikiLink Kernel_(algebra).
- Finitely_generated_module wikiPageWikiLink Linear_independence.
- Finitely_generated_module wikiPageWikiLink Mathematics.
- Finitely_generated_module wikiPageWikiLink Maximal_ideal.
- Finitely_generated_module wikiPageWikiLink Module_(mathematics).
- Finitely_generated_module wikiPageWikiLink Module_homomorphism.
- Finitely_generated_module wikiPageWikiLink Monomorphism.
- Finitely_generated_module wikiPageWikiLink Morita_equivalence.
- Finitely_generated_module wikiPageWikiLink Nakayama_lemma.
- Finitely_generated_module wikiPageWikiLink Nicolas_Bourbaki.
- Finitely_generated_module wikiPageWikiLink Noetherian_module.
- Finitely_generated_module wikiPageWikiLink Noetherian_ring.
- Finitely_generated_module wikiPageWikiLink Poincaré_series.
- Finitely_generated_module wikiPageWikiLink Polynomial.
- Finitely_generated_module wikiPageWikiLink Polynomial_ring.
- Finitely_generated_module wikiPageWikiLink Principal_ideal_domain.
- Finitely_generated_module wikiPageWikiLink Projective_module.
- Finitely_generated_module wikiPageWikiLink Rank_of_an_abelian_group.
- Finitely_generated_module wikiPageWikiLink Semisimple_module.
- Finitely_generated_module wikiPageWikiLink Socle_(mathematics).
- Finitely_generated_module wikiPageWikiLink Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain.
- Finitely_generated_module wikiPageWikiLink Surjective_function.
- Finitely_generated_module wikiPageWikiLink Tor_functor.
- Finitely_generated_module wikiPageWikiLink Torsion-free_module.
- Finitely_generated_module wikiPageWikiLink Torsion_(algebra).
- Finitely_generated_module wikiPageWikiLink Total_order.
- Finitely_generated_module wikiPageWikiLink Uniform_module.
- Finitely_generated_module wikiPageWikiLink Vector_space.
- Finitely_generated_module wikiPageWikiLinkText "Finitely generated module".
- Finitely_generated_module wikiPageWikiLinkText "Finitely generated module#Equivalent definitions and finitely cogenerated modules".
- Finitely_generated_module wikiPageWikiLinkText "Finitely generated module#Finitely presented module".
- Finitely_generated_module wikiPageWikiLinkText "Finitely generated module#Finitely presented.2C finitely related.2C and coherent modules".
- Finitely_generated_module wikiPageWikiLinkText "Finitely generated".
- Finitely_generated_module wikiPageWikiLinkText "finite".
- Finitely_generated_module wikiPageWikiLinkText "finitely cogenerated".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated ''A''-module".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated ''R''-module".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated ''R''-submodule of ''K''".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated ideal".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated module".
- Finitely_generated_module wikiPageWikiLinkText "finitely generated".
- Finitely_generated_module wikiPageWikiLinkText "finitely related".
- Finitely_generated_module wikiPageWikiLinkText "finitely-generated".
- Finitely_generated_module wikiPageWikiLinkText "generating set".
- Finitely_generated_module wikiPageUsesTemplate Template:Citation.
- Finitely_generated_module wikiPageUsesTemplate Template:Reflist.
- Finitely_generated_module wikiPageUsesTemplate Template:Sfn.
- Finitely_generated_module subject Category:Module_theory.
- Finitely_generated_module hypernym Module.
- Finitely_generated_module type Software.
- Finitely_generated_module comment "In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R-module also may be called a finite R-module,finite over R, or a module of finite type.Related concepts include finitely cogenerated modules, finitely presented modules, finitely related modules and coherent modules all of which are defined below.".
- Finitely_generated_module label "Finitely generated module".
- Finitely_generated_module sameAs Q2375712.
- Finitely_generated_module sameAs נוצר_סופית.
- Finitely_generated_module sameAs 有限生成加群.
- Finitely_generated_module sameAs m.01w60f.
- Finitely_generated_module sameAs Конечнопорождённый_модуль.
- Finitely_generated_module sameAs Ändligtgenererad_modul.
- Finitely_generated_module sameAs Q2375712.
- Finitely_generated_module wasDerivedFrom Finitely_generated_module?oldid=694433409.
- Finitely_generated_module isPrimaryTopicOf Finitely_generated_module.