Nonsingular semiperfect CS-rings

DOI10.1006/jabr.1997.7336zbMath0920.16003OpenAlexW2053530230MaRDI QIDQ1266459

Sergio R. López-Permouth, Pramod Kanwar, S. Barthwal, Surender Kumar Jain

Publication date: 19 July 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7336

zbMATH Keywords

CS-ringsdirect summandssemiperfect ringsdirect sums of matrix ringsnonsingular 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) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (4)

CS matrix rings over local rings ⋮ Unnamed Item ⋮ Nonsingular CS-rings coincide with tight PP rings. ⋮ Triangular matrix representations

Cites Work

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• Cyclic modules whose quotients have all complement submodules direct summands
• Maximal quotient rings of generalized matrix rings
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND

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