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- Noetherian_module abstract "In abstract algebra, a Noetherian module is a module that satisfies the ascending chain condition on its submodules, where the submodules are partially ordered by inclusion.Historically, Hilbert was the first mathematician to work with the properties of finitely generated submodules. He proved an important theorem known as Hilbert's basis theorem which says that any ideal in the multivariate polynomial ring of an arbitrary field is finitely generated. However, the property is named after Emmy Noether who was the first one to discover the true importance of the property.".
- Noetherian_module wikiPageID "542431".
- Noetherian_module wikiPageLength "3306".
- Noetherian_module wikiPageOutDegree "24".
- Noetherian_module wikiPageRevisionID "663289026".
- Noetherian_module wikiPageWikiLink Abstract_algebra.
- Noetherian_module wikiPageWikiLink Artinian_module.
- Noetherian_module wikiPageWikiLink Ascending_chain_condition.
- Noetherian_module wikiPageWikiLink Axiom_of_choice.
- Noetherian_module wikiPageWikiLink Category:Commutative_algebra.
- Noetherian_module wikiPageWikiLink Category:Module_theory.
- Noetherian_module wikiPageWikiLink Commutative_ring.
- Noetherian_module wikiPageWikiLink Composition_series.
- Noetherian_module wikiPageWikiLink David_Hilbert.
- Noetherian_module wikiPageWikiLink Emmy_Noether.
- Noetherian_module wikiPageWikiLink Finitely_generated_module.
- Noetherian_module wikiPageWikiLink Hilberts_basis_theorem.
- Noetherian_module wikiPageWikiLink Inclusion_(set_theory).
- Noetherian_module wikiPageWikiLink Integer.
- Noetherian_module wikiPageWikiLink Krull_dimension.
- Noetherian_module wikiPageWikiLink Matrix_ring.
- Noetherian_module wikiPageWikiLink Maximum_condition.
- Noetherian_module wikiPageWikiLink Module_(mathematics).
- Noetherian_module wikiPageWikiLink Noetherian_ring.
- Noetherian_module wikiPageWikiLink Set_inclusion.
- Noetherian_module wikiPageWikiLink Submodule.
- Noetherian_module wikiPageWikiLink Subset.
- Noetherian_module wikiPageWikiLinkText "Noetherian module".
- Noetherian_module wikiPageWikiLinkText "Noetherian".
- Noetherian_module hasPhotoCollection Noetherian_module.
- Noetherian_module subject Category:Commutative_algebra.
- Noetherian_module subject Category:Module_theory.
- Noetherian_module hypernym Module.
- Noetherian_module type Software.
- Noetherian_module comment "In abstract algebra, a Noetherian module is a module that satisfies the ascending chain condition on its submodules, where the submodules are partially ordered by inclusion.Historically, Hilbert was the first mathematician to work with the properties of finitely generated submodules. He proved an important theorem known as Hilbert's basis theorem which says that any ideal in the multivariate polynomial ring of an arbitrary field is finitely generated.".
- Noetherian_module label "Noetherian module".
- Noetherian_module sameAs מודול_נתרי.
- Noetherian_module sameAs ネーター加群.
- Noetherian_module sameAs m.02n9yq.
- Noetherian_module sameAs Нётеров_модуль.
- Noetherian_module sameAs Noethersk_modul.
- Noetherian_module sameAs Q2444982.
- Noetherian_module sameAs Q2444982.
- Noetherian_module sameAs 諾特模.
- Noetherian_module wasDerivedFrom Noetherian_module?oldid=663289026.
- Noetherian_module isPrimaryTopicOf Noetherian_module.