Rings over which every module is the direct sum of distributive modules

zbMath0443.16020MaRDI QIDQ1144103

Askar A. Tuganbaev

Publication date: 1980

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Dedekind domainsuniserial ringsbasic ringdistributive modulesdistributive lattice of submodulescompletely cyclic submodulessemidistributive modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05) Noncommutative local and semilocal rings, perfect rings (16L30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

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