Generalized SV-rings of bounded index of nilpotency.

DOI10.3103/S1066369X11120012zbMath1261.16005OpenAlexW2062873498MaRDI QIDQ1759202

A. N. Abyzov

Publication date: 20 November 2012

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

Full work available at URL: https://doi.org/10.3103/s1066369x11120012

zbMATH Keywords

nilpotent elementsdirect summandssemiartinian ringscomposition seriesregular idealsweakly regular modulesgeneralized SV-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) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

On socle chains of semiartinian rings with primitive factors Artinian ⋮ \(I_0^*\)-modules ⋮ Regular semi-Artinian rings.

Cites Work

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• Rings without infinite sets of noncentral orthogonal idempotents.
• Some external characterizations of SV-rings and hereditary rings.
• On semi-artinian \(V\)-modules
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• Submodules and direct summands.
• On the Structure of Algebraic Algebras and Related Rings

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