Almost-perfect modules

Pinar Aydoğdu; A. Çiğdem Özcan

doi:10.1017/S0017089510000297

Almost-perfect modules

Division of Algebra and Number Theory

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	33-40
Number of pages	8
Journal	Glasgow Mathematical Journal
Volume	52
Issue number	A
DOIs	https://doi.org/10.1017/S0017089510000297
Publication status	Published - 2010

Keywords

16D40
Primary 16A51
secondary 16A50

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10.1017/S0017089510000297

Cite this

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AB - 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.

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KW - Primary 16A51

KW - secondary 16A50

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Almost-perfect modules

Abstract

Keywords

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