ALMOST INJECTIVE MODULES — A BRIEF SURVEY

DOI10.1142/S0219498813501648zbMath1304.16001OpenAlexW2125436482WikidataQ114072542 ScholiaQ114072542MaRDI QIDQ5420515

Surender Kumar Jain, Adel N. Alahmadi

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813501648

zbMATH Keywords

direct sumsdirect summandsArtinian ringsserial ringsalmost projective modulesalmost QF ringsalmost injective modulesalmost self-injective rings

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) Quasi-Frobenius rings (16L60)

Related Items (5)

On rings with cyclic almost-injective modules ⋮ Rings characterized via some classes of almost-injective modules ⋮ Rings Over Which Every Module Is Almost Injective ⋮ Noetherian rings with almost injective simple modules ⋮ Almost injective modules lack a "Baer-like" criterion

Cites Work

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• Almost M-projectives and Nakayama rings
• Almost projective modules
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• CS matrix rings over local rings
• Nonsingular CS-rings coincide with tight PP rings.
• Every Σ-CS-module has an indecomposable decomposition
• π-injective modules and rings whose cyclics are π-injective
• Nonsingular Semiperfect Cs-Rings II
• $KD_\infty $ is a CS-algebra

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