Some Results on Self-Injective Rings and Σ-CS Rings

DOI10.1081/AGB-120024867zbMath1055.16002MaRDI QIDQ4435171

Dinh Van Huynh, Hai Quang Dinh

Publication date: 26 November 2003

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

zbMATH Keywords

idempotentsdirect summandssemiperfect ringsself-injective ringsuniform dimensionsemi-Artinian modulesCS modules

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) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (7)

Almost projective and almost injective modules ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ Rings over which every module is an \(I_0^\ast\)-module ⋮ A NOTE ON ESSENTIAL EXTENSIONS OF SEMI-SIMPLE MODULES ⋮ \(I_0^*\)-modules ⋮ Regular semi-Artinian rings. ⋮ Artinian Rings Characterized by Direct Sums of CS Modules

Cites Work

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