On the Decomposition of Nonsingular CS-Modules

DOI10.4153/CMB-1996-033-4zbMath0860.16008MaRDI QIDQ5689217

John Clark, Nguyen Viet Dung

Publication date: 20 April 1997

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

maximal idealsindecomposable decompositionsquasi-injective modulesquasi-continuous modulesCS modulesmodules over PIDsdcc on summands

Mathematics Subject Classification ID

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) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (5)

Every Σ-CS-module has an indecomposable decomposition ⋮ On σ-extending modules ⋮ On some classes of Artinian rings ⋮ Two criteria for locally Noetherian Grothendieck categories ⋮ A note on semiprime right Goldie rings

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