Is a right perfect right self-injective ring right PF?

zbMath0984.16007MaRDI QIDQ5930015

Dinesh Khurana

Publication date: 2 May 2002

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

direct summandsessential left idealsinjective cogeneratorsJacobson radicalleft principally injective modulesleft singular idealsminimal left idealsprimitive idempotentsright Kasch ringsright perfect left quasi-continuous ringsright perfect right self-injective ringsright pseudo-Frobenius ringssemiperfect left CS ringssemiperfect right self-injective ringssemiprime ringssimple right modulessocles

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30)