A note on semiprime right Goldie rings

DOI10.1080/00927872.2016.1233211zbMath1369.16024OpenAlexW2528655672MaRDI QIDQ5274867

Nguyen Van Sanh, Phan Dan, Phan le

Publication date: 6 July 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233211

zbMATH Keywords

injectiveGoldie dimensionnonsingularreducedquasi-injectiveextendingsemisimple right Goldie rings

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) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• Ikeda-Nakayama rings
• Rings over which certain modules are injective
• Torisonfree injective modules
• Some aspects of Goldie's torsion theory
• On direct representations of quasi-injectives and quasi-projectives
• Semi-Prime Rings with Maximum Condition
• On the Decomposition of Nonsingular CS-Modules

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