Bennis, Driss Weak Gorenstein global dimension. (English) Zbl 1253.16008 Int. Electron. J. Algebra 8, 140-152 (2010). Summary: 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 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 with some examples and a brief discussion of the scope and limits of our results. Cited in 1 ReviewCited in 7 Documents MSC: 16E10 Homological dimension in associative algebras 16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras 16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Keywords:Gorenstein flat dimension; weak Gorenstein global dimension; weak global dimension; coherent rings; GF-closed rings PDFBibTeX XMLCite \textit{D. Bennis}, Int. Electron. J. Algebra 8, 140--152 (2010; Zbl 1253.16008) Full Text: arXiv Link