[PDF][PDF] On Gorenstein cotorsion dimension over GF-closed rings
Z Gao - Bulletin of the Korean Mathematical Society, 2014 - researchgate.net
Z Gao
Bulletin of the Korean Mathematical Society, 2014•researchgate.netIn 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.
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.
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.
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