Quasi-injective modules with acc or dcc on essential submodules

DOI10.1007/BF01277059zbMath0658.16018WikidataQ114233972 ScholiaQ114233972MaRDI QIDQ1111666

Nguyen Viet Dung, Robert Wisbauer, Dinh Van Huynh

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

finitely generated modulesdirect sumendomorphism ringQF-ringsleft artinian ringquasi-projective module with acc on essential submodulesvon Neumann regular, left self-injective ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (23)

On SC-modules ⋮ A structure theorem for SI-Modules ⋮ A note on GV-modules with Krull dimension ⋮ On automorphism-invariant rings with chain conditions ⋮ Generalized injectivity and chain conditions ⋮ On rings with cyclic almost-injective modules ⋮ On the uniform dimension of the radical of a module^* ⋮ Rings whose modules satisfy chain conditions on essential endosubmodules ⋮ A remark on QF rings ⋮ Some results on V-rings and weakly V-rings. ⋮ Semiregular, semiperfect and perfect rings relative to an ideal. ⋮ Singular and semi-simple character in \(E\)-injective \(N\)-groups with weakly descending chain conditions ⋮ Rings with restricted descending chain conditions ⋮ On a class of non-noetherian V-ring ⋮ Chain Conditions on Essential Submodules ⋮ On small dual rings ⋮ ON A CLASS OF SEMIPERFECT RINGS ⋮ Modules whose closed submodules are finitely generated ⋮ On continuous semiprimary rings ⋮ Modules with chain conditions on superfluous submodules ⋮ CHAIN CONDITIONS ON NON-SUMMANDS ⋮ Characterizations of QF Rings ⋮ Morita dualities associated with the \(R\)-dual functors

Cites Work

• Rings with dcc on essential left ideals
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