Lifting Property of Direct Sums of Hollow Modules

DOI10.1080/00927870701405157zbMath1129.16004OpenAlexW1996438034MaRDI QIDQ5426299

N. Vanaja

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701405157

zbMATH Keywords

direct sumscomplementslifting modulesdiscrete modulesquasi-discrete modulesself-projective modulesmaximal direct summandslocally semi-\(T\)-nilpotent modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (1)

Lifting modules with finite internal exchange property and direct sums of hollow modules

Cites Work

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• Modules with indecomposable decompositions that complement maximal direct summands
• Lifting modules, extending modules and their applications to QF-rings
• Uniserial modules: sums and isomorphisms of subquotients
• On lifting modules
• OJECTIVE MODULES
• MODULES FOR WHICH EVERY SUBMODULE HAS A UNIQUE COCLOSURE
• On Direct Sums of Lifting Modules and Internal Exchange Property

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