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http://dx.doi.org/10.4134/BKMS.2014.51.1.173

ON GORENSTEIN COTORSION DIMENSION OVER GF-CLOSED RINGS  

Gao, Zenghui (College of Applied Mathematics Chengdu University of Information Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 173-187 More about this Journal
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;
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