Closure of weakly regular modules with respect to direct sums.

zbMath1085.16503MaRDI QIDQ2387015

A. N. Abyzov

Publication date: 26 August 2005

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

direct summandsprimitive idempotentslocal ringscyclic submodulessemiperfect ringsweakly regular modules

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other classes of modules and ideals in associative algebras (16D80) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

Rings over which all modules are \(I_0\)-modules. II. ⋮ Rings without infinite sets of noncentral orthogonal idempotents. ⋮ Submodules and direct summands. ⋮ Modules with many direct summands. ⋮ Rings over which all modules are semiregular. ⋮ Rings over which all modules are \(I_0\)-modules.

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