Strongly semiprime rings and nonsingular quasi-injective modules

zbMath0425.16005MaRDI QIDQ1135333

Mamoru Kutami, Kiyoichi Oshiro

Publication date: 1980

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

zbMATH Keywords

idempotentssimple ringsmaximal right quotient ringnonsingular quasi-injective modulesstrongly semiprime ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Conditions on elements (16U99) Localization and associative Noetherian rings (16P50)

Related Items

Automorphism-invariant non-singular rings and modules ⋮ Injective and automorphism-invariant non-singular modules ⋮ Modules whose injectivity domains are restricted to semi-artinian modules ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ t-Nilpotent invariant modules ⋮ Skew-injective modules ⋮ Automorphism-invariant modules. ⋮ Modules over strongly semiprime rings