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ALMOST-PERFECT MODULES

Published online by Cambridge University Press:  24 June 2010

PINAR AYDOĞDU  and
A. ÇIĞDEM ÖZCAN
PINAR AYDOĞDU
Affiliation:
Department of Mathematics, Hacettepe University, 06800 Beytepe Ankara, Turkey e-mails: paydogdu@hacettepe.edu.tr, ozcan@hacettepe.edu.tr
A. ÇIĞDEM ÖZCAN
Affiliation:
Department of Mathematics, Hacettepe University, 06800 Beytepe Ankara, Turkey e-mails: paydogdu@hacettepe.edu.tr, ozcan@hacettepe.edu.tr
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Abstract

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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

Primary 16A51secondary 16A5016D40
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

References

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