When is a self-injective semiperfect ring quasi-Frobenius?

DOI10.1006/jabr.1994.1128zbMath0802.16011OpenAlexW2001989583WikidataQ122727288 ScholiaQ122727288MaRDI QIDQ1327055

John Clark, Dinh Van Huynh

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1128

zbMATH Keywords

QF-ringdirect summandright perfect ringfinitely generated submoduleACC on principal right idealsprojective right \(R\)-moduleright quasi-continuousright self- injective ringright self-injective semiperfect ringuniform submodule

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) 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) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (12)

On Generalizations of PF-Rings ⋮ MODULES WITH SMALL CYCLIC SUBMODULES IN THEIR INJECTIVE HULLS ⋮ On indecomposable decompositions of \(CS\)-modules. II ⋮ A note on perfect self-injective rings^(*) ⋮ On σ-extending modules ⋮ MODULES SATISFYING EXTENSION CONDITIONS UNDER MONOMORPHISM OF THEIR CLOSED SUBMODULES ⋮ Artinian Rings Characterized by Direct Sums of CS Modules ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Modules with chain conditions up to isomorphism ⋮ Some Results on Self-Injective Rings and Σ-CS Rings ⋮ On isonoetherian and isoartinian modules ⋮ A note on quasi-Frobenius rings

This page was built for publication: When is a self-injective semiperfect ring quasi-Frobenius?