MODULES WITH ANNIHILATOR CONDITIONS

DOI10.1081/AGB-120003470zbMath1015.16019OpenAlexW2122538913MaRDI QIDQ4551082

Yiqiang Zhou, Nan Qing Ding, Mohamed F. Yousif

Publication date: 17 July 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120003470

zbMATH Keywords

bimodulessemisimple modulesperfect ringsKasch modulesannihilator conditions\(V\)-modules

Mathematics Subject Classification ID

Bimodules in associative algebras (16D20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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MODULES SATISFYING EXTENSION CONDITIONS UNDER MONOMORPHISM OF THEIR CLOSED SUBMODULES, MP-injective rings and MGP-injective rings.

Cites Work

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• Annihilator conditions in Noetherian rings
• Principally injective rings
• Relative injectivity and chain conditions
• Rings with the principal extension property
• Principally quasi-injective modules
• On general principally injective rings
• On p-injective rings
• On a theorem of camillo
• Quasi-dual rings