ON GORENSTEIN COTORSION DIMENSION OVER GF-CLOSED RINGS

Gao, Zenghui

doi:10.4134/BKMS.2014.51.1.173

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ON GORENSTEIN COTORSION DIMENSION OVER GF-CLOSED RINGS

Journal title : Bulletin of the Korean Mathematical Society
Volume 51, Issue 1, 2014, pp.173-187
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2014.51.1.173

Title & Authors

ON GORENSTEIN COTORSION DIMENSION OVER GF-CLOSED RINGS
Gao, Zenghui;

Abstract

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and rings. It is shown that this dimension has nice properties when the ring in question is left GF-closed. The relations between the Gorenstein cotorsion dimension and other homological dimensions are discussed. Finally, we give some new characterizations of weak Gorenstein global dimension of coherent rings in terms of Gorenstein cotorsion modules.

Keywords

Gorenstein flat module;Gorenstein cotorsion dimension;weak Gorenstein global dimension;GF-closed ring;

Language

English

Cited by

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