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- Countably_generated_module abstract "In mathematics, a module over a (not necessarily commutative) ring is countably generated if it is generated as a module by a countable subset. The importance of the notion comes from Kaplansky's theorem (Kaplansky 1958), which states that a projective module is a direct sum of countably generated modules.More generally, a module over a possibly non-commutative ring is projective if and only if (i) it is flat, (ii) it is a direct sum of countably generated modules and (iii) it is a Mittag-Leffler module. (Bazzoni–Stovicek)".
- Countably_generated_module wikiPageExternalLink 1970252..
- Countably_generated_module wikiPageID "34024378".
- Countably_generated_module wikiPageLength "940".
- Countably_generated_module wikiPageOutDegree "11".
- Countably_generated_module wikiPageRevisionID "481474508".
- Countably_generated_module wikiPageWikiLink Category:Module_theory.
- Countably_generated_module wikiPageWikiLink Countable.
- Countably_generated_module wikiPageWikiLink Countable_dimension.
- Countably_generated_module wikiPageWikiLink Countable_ring.
- Countably_generated_module wikiPageWikiLink Countable_set.
- Countably_generated_module wikiPageWikiLink Flat_module.
- Countably_generated_module wikiPageWikiLink Irving_Kaplansky.
- Countably_generated_module wikiPageWikiLink Mathematics.
- Countably_generated_module wikiPageWikiLink Mittag-Leffler_module.
- Countably_generated_module wikiPageWikiLink Module_(mathematics).
- Countably_generated_module wikiPageWikiLink Projective_module.
- Countably_generated_module wikiPageWikiLink Ring_(mathematics).
- Countably_generated_module wikiPageWikiLinkText "Countably generated module".
- Countably_generated_module hasPhotoCollection Countably_generated_module.
- Countably_generated_module wikiPageUsesTemplate Template:Algebra-stub.
- Countably_generated_module subject Category:Module_theory.
- Countably_generated_module comment "In mathematics, a module over a (not necessarily commutative) ring is countably generated if it is generated as a module by a countable subset.".
- Countably_generated_module label "Countably generated module".
- Countably_generated_module sameAs m.0hr4081.
- Countably_generated_module sameAs Q5176825.
- Countably_generated_module sameAs Q5176825.
- Countably_generated_module wasDerivedFrom Countably_generated_module?oldid=481474508.
- Countably_generated_module isPrimaryTopicOf Countably_generated_module.