Weak Gorenstein global dimension

Details Weak Gorenstein global dimension Weak Gorenstein global dimension

2009-05-04

arxiv.org/abs/0905.0339v1

Mathematics

Rings and Algebras

Scientific paper

In this paper, we investigate the weak Gorenstein global dimensions. We are mainly interested in studying the problem when the left and right weak Gorenstein global dimensions coincide. We first show, for GF-closed 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 the paper with some examples and a brief discussion of the scope and limits of our results.

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