MODULES WITH SMALL CYCLIC SUBMODULES IN THEIR INJECTIVE HULLS

DOI10.1081/AGB-120013201zbMath1023.16006MaRDI QIDQ4532439

Ayşe Çiğdem Özcan

Publication date: 2 July 2002

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

zbMATH Keywords

direct summandsinjective hullslifting modulesquasi-Frobenius ringssmall submodulesinjective right modulesright self-injective ringscosingular modulessmall modulesright H-ringscosingular rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80)

Related Items (9)

A dual approach to the theory of inverse split modules ⋮ Unnamed Item ⋮ On \(e^\ast\)-supplemented modules ⋮ \(e^*\)-lifting modules ⋮ Kosinguläre und Kleine Moduln# ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel ⋮ \(\mathcal{Z}^\ast\)-semilocal modules and the proper class \(\mathcal{RS}\) ⋮ Generating dual Baer modules via fully invariant submodules ⋮ e*-Hollow-Lifting and Cofinitely e*-Lifting Modules

Cites Work

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• When is a self-injective semiperfect ring quasi-Frobenius?
• Continuous rings with chain conditions
• Lifting modules, extending modules and their applications to QF-rings
• Modules with chain conditions on superfluous submodules
• On small and cosmall modules

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