Weakly regular modules.

DOI10.3103/S1066369X15030019zbMath1105.16008OpenAlexW2099007735MaRDI QIDQ2387088

A. N. Abyzov

Publication date: 26 August 2005

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

Full work available at URL: https://doi.org/10.3103/s1066369x15030019

zbMATH Keywords

direct summandslocal ringscyclic submodulessemiperfect ringsweakly regular 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) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (7)

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. ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A class of formal matrix rings.
• Homomorphisms close to regular and their applications.
• On (semi)regularity and the total of rings and modules.
• Isomorphism of generalized matrix rings
• Semiregular Morphisms

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