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- Noetherian_module abstract "In abstract algebra, an 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 wikiPageRevisionID "585783591".
- Noetherian_module hasPhotoCollection Noetherian_module.
- Noetherian_module subject Category:Commutative_algebra.
- Noetherian_module subject Category:Module_theory.
- Noetherian_module comment "In abstract algebra, an 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 label "Нётеров модуль".
- Noetherian_module label "諾特模".
- Noetherian_module sameAs m.02n9yq.
- Noetherian_module sameAs Q2444982.
- Noetherian_module sameAs Q2444982.
- Noetherian_module wasDerivedFrom Noetherian_module?oldid=585783591.
- Noetherian_module isPrimaryTopicOf Noetherian_module.