On rings whose cyclic faithful modules are generators

zbMath0852.16007MaRDI QIDQ1911581

Hiroshi Yoshimura

Publication date: 8 December 1996

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

zbMATH Keywords

generatorsdirect productsvon Neumann regular ringsfull matrix ringscategories of right modulesmaximal right quotient ringsfaithful right modulesleft and right FPF ringsquasi-Baer right GFC ringsright nonsingular right GFC ringsright p.p. GFC ringsself-injective Abelian regular rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

Hulls of semiprime rings with applications to \(C^*\)-algebras.

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