A Generalization of Semiregular and Semiperfect Modules

DOI10.1142/S1005386708000631zbMath1183.16002OpenAlexW2046952799MaRDI QIDQ3597577

Pınar Aydoğdu, Ayşe Çiğdem Özcan

Publication date: 9 February 2009

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

Full work available at URL: https://doi.org/10.1142/s1005386708000631

zbMATH Keywords

projective modulesdirect summandspreradicalssemiperfect modulessemiregular modulesdirect decompositionsstrongly lifting 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) Noncommutative local and semilocal rings, perfect rings (16L30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

On semiregular endomorphism rings and the dual of Yamagata's theorem ⋮ Rings whose nonsingular modules have projective covers

Cites Work

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• Coprime preradicals and modules.
• Quasi-projective modules and the finite exchange property
• Continuous modules are clean.
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Strong lifting.
• Generalizations of Perfect, Semiperfect, and Semiregular Rings
• Semiregular Modules with Respect to a Fully Invariant Submodule
• Semiregular Modules and Rings
• Exchange rings, units and idempotents
• Semiperfect Modules with Respect to a Preradical

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