A new version of a theorem of Kaplansky

DOI10.1080/00927872.2020.1739289zbMath1446.13009arXiv1901.02316OpenAlexW3012796972MaRDI QIDQ5119329

Qiao Lei, Fanggui Wang

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02316

zbMATH Keywords

Kaplansky's theorem on projective modulew-countably generated modulew-projective modulew-split module

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Other special types of modules and ideals in commutative rings (13C13) Torsion theory for commutative rings (13D30)

Related Items (4)

Absolutely \(w\)-pure modules and weak FP-injective dimensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Maximum deconstructibility in module categories

Cites Work

• A Lazard-like theorem for quasi-coherent sheaves
• Foundations of commutative rings and their modules
• Projective modules
• Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications.
• Some remarks on star-operations
• Flat ideals. II
• Projective dimension of nice directed unions
• Two generalizations of projective modules and their applications
• Approximations and endomorphism algebras of modules.
• ω-MODULES OVER COMMUTATIVE RINGS
• The Third Axiom of Countability for Abelian Groups
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