Certain rings whose simple singular modules are GP-injective.

DOI10.3792/pjaa.81.125zbMath1089.16004OpenAlexW2049678147WikidataQ114023236 ScholiaQ114023236MaRDI QIDQ820164

Jin Yong Kim

Publication date: 6 April 2006

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.81.125

zbMATH Keywords

Goldie ringsvon Neumann regular ringsgeneralized principally injective modulesidempotent reflexive ringssimple singular modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Reflexive Property of Rings, Reflexive property on nil ideals, Reflexive property restricted to nilpotents, Left WMC2 rings., Unnamed Item, A Note on GP-Injectivity, Reflexivity of rings via nilpotent elements, On some classes of reflexive rings

Cites Work

• On von Neumann regular rings. III
• On weak \(\pi\)-regularity of rings whose prime ideals are maximal
• On rings whose simple modules are injective
• WEAKLY CONTINUOUS AND C2-RINGS
• Reflexive ideals
• On simple singular gp - injective modules
• A characterization of minimal prime ideals
• On simple GP - injective modules
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