WEAK GORENSTEIN GLOBAL DIMENSION

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International Electronic Journal of Algebra
Volume:8 Issue:8
WEAK GORENSTEIN GLOBAL DIMENSION

WEAK GORENSTEIN GLOBAL DIMENSION

Authors : Driss Bennis

Pages : 140-152

View : 12 | Download : 10

Publication Date : 2010-12-01

Article Type : Research Paper

Abstract :In this paper, we investigate the weak Gorenstein global dimension. We are mainly interested in studying the problem when the left and right weak Gorenstein global dimensions coincide. We first show, for GFclosed rings, that the left and right weak Gorenstein global dimensions are equal when they are finite. Then, we prove that the same equality holds for any two-sided coherent ring. We conclude with some examples and a brief discussion of the scope and limits of our results.
Keywords : Gorenstein flat dimension, weak Gorenstein global dimension, weak global dimension, GF closed rings

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