Some remarks on CS modules and SI rings

DOI10.1017/S0004972700020505zbMath1031.16005MaRDI QIDQ3149462

Dinh Van Huynh

Publication date: 25 November 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

direct sumsdirect summandsprimitive idempotentsinjective modulescontinuous modulesleft perfect ringssingular modulesCS modulesCS-semisimple ringsSC rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (2)

S-T-CORETRACTABLE MODULES ⋮ Unnamed Item

Cites Work

• Cyclic modules whose quotients have all complement submodules direct summands
• On CS rings and QF rings
• Rings for which certain modules are \(CS\)
• \(\Sigma\)-extending modules
• Lifting modules, extending modules and their applications to QF-rings
• Rings characterized by direct sums of cs modules
• A Right Countably Sigma-CS Ring with ACC or DCC on Projective Principal Right Ideals is Left Artinian and QF-3
• Singular torsion and the splitting properties

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