On Lifting Projective Modules Modulo an Essential Socle

DOI10.1081/AGB-120022789zbMath1034.16003OpenAlexW2005049178MaRDI QIDQ4420210

Dingfeng Ye, Qin Yue

Publication date: 14 August 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120022789

zbMATH Keywords

projective dimensiondirect sumsprojective modulesglobal dimensionlifting idempotentsessential socles

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension in associative algebras (16E10)

Cites Work

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• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• On & - semisimple rings. A study of the socle of a ring
• On rings with essential socle
• Projective dimension of singular modules over nonsingular rings with essential socle

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