Reduced right ideals which are strongly essential in direct summands

DOI10.1007/BF01194383zbMath0636.16016MaRDI QIDQ1097945

Gary F. Birkenmeier

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

essential extensionstrongly essentialdirect summandfaithful cyclic right R-modulefinitely generated reduced right idealright CS ringsright p.p. right GFCsemiprime quasi-Baer right GFCsemiprime right FPF rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

• Modules which are subisomorphic to injective modules
• Twisted matrix units semigroup algebras
• A generalization of FPF rings
• Modules Et Anneaux Quasi-Continus
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
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