Semipotency and the total of rings and modules.

DOI10.1016/j.ajmsc.2012.10.001zbMath1300.16013OpenAlexW1965577162MaRDI QIDQ375162

Hamza Hakmi

Publication date: 28 October 2013

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1319516612000357

zbMATH Keywords

Jacobson radical\(I_0\)-modulescosingular idealsemi-potent ringstotal of modulestotal of rings

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Cites Work

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• On (semi)regularity and the total of rings and modules.
• F-semi-perfect modules
• Locally injective modules and locally projective modules.
• Strong lifting.
• I-Rings
• Semiregular Modules and Rings
• Lifting Idempotents and Exchange Rings
• The Jacobson Radical of the Endomorphism Ring of a Projective Module
• Endomorphism Rings of Projective Modules
• Regular Modules
• The structure of modules over hereditary rings

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