ALMOST-PERFECT MODULES

作者:Aydogdu Pinar*; Ozcan A Cigdem
来源:Glasgow Mathematical Journal, 2010, 52A: 33-40.
DOI:10.1017/S0017089510000297

摘要

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.

  • 出版日期2010-7

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