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ALMOST-PERFECT MODULES
Published online by Cambridge University Press: 24 June 2010
Abstract
We call a module Malmost perfect if every M-generated flat module is M-projective. Any perfect module is almost perfect. We characterize almost-perfect modules and investigate some of their properties. It is proved that a ring R is a left almost-perfect ring if and only if every finitely generated left R-module is almost perfect. R is left perfect if and only if every (projective) left R-module is almost perfect.
Keywords
- Type
- Research Article
- Information
- Glasgow Mathematical Journal , Volume 52 , Issue A: Rings and Modules in Honour of Patrick F. Smith's 65th Birthday , July 2010 , pp. 33 - 40
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 2010