On some classes of semi-Artinian rings.

DOI10.1134/S0037446612050011zbMath1276.16001OpenAlexW2091834112MaRDI QIDQ1935174

A. N. Abyzov

Publication date: 31 January 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612050011

zbMATH Keywords

direct summandsright duo ringsretractable modulessemi-Artinian ringsweakly regular modulesquasiprojective modulesCSL-ringsretractable ringsSV-rings

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) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Retractable and coretractable modules., Retractable and coretractable modules in Wisbauer category, On the Schröder-Bernstein property for modules, Rings over which every module is an \(I_0^\ast\)-module, Mod-retractable strongly π-regular rings and group algebras, \(I_0^*\)-modules, Infinite groups whose group algebras satisfy the converse of Schur’s lemma, Primary decomposition of crossed product and hypercentral algebras, Retractable and coretractable abelian groups

Cites Work

• Rings over which all modules are \(I_0\)-modules. II.
• Rings over which all modules are \(I_0\)-modules.
• On semi-artinian \(V\)-modules
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• Rings whose modules have maximal submodules
• Projective injective modules
• CORETRACTABLE MODULES
• Asymmetry in the Converse of Schur's Lemma
• An analogue of the pierce sheaf for non-commutative rings
• On quasi-duo rings
• Regular Endomorphism Rings of Free Modules
• Perfect rings for which the converse of Schur's lemma holds
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