Abstract
Let R be a ring. An R-module N is called Gorenstein cotorsion module if Ext 1 R (F, N) = 0 for any Gorenstein flat R-module F. We investigate some properties of Gorenstein cotorsion envelopes and introduce Gorenstein cotorsion dimension. Some characterizations of Gorenstein cotorsion dimension of modules and rings are given.
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Lei, R., Meng, F. Notes on Gorenstein cotorsion modules. Math Notes 96, 716–731 (2014). https://doi.org/10.1134/S0001434614110108
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DOI: https://doi.org/10.1134/S0001434614110108