Almost-perfect modules

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AYDOĞDU P., ÖZCAN A. Ç.

Glasgow Mathematical Journal, vol.52, no.A, pp.33-40, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: A
  • Publication Date: 2010
  • Doi Number: 10.1017/s0017089510000297
  • Journal Name: Glasgow Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.33-40
  • Keywords: 16D40, Primary 16A51, secondary 16A50
  • Hacettepe University Affiliated: Yes

Abstract

We call a module M almost 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. © 2010, Glasgow Mathematical Journal Trust. All rights reserved.