Projective summands of not singular modules

DOI10.1216/RMJM/1181072670zbMath0806.16003OpenAlexW1977704097MaRDI QIDQ1802712

Stanley S. Page

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072670

zbMATH Keywords

finite uniform dimensionfinitely generated faithful modulessemi-perfect ringsdirect sum of cyclic modulesfaithful left modulesFQF-3 ringsprojective direct summands

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• Right perfect rings with the extending property on finitely generated free modules
• On modules with extending properties
• Lifting modules, extending modules and their applications to QF-rings
• Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals
• Semi-perfect and non-singular FQF-3 Rings
• Singular torsion and the splitting properties

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