Abstract
A complex C is called Gorenstein cotorsion if Ext 1(G, C) = 0 for any Gorenstein flat complex G. It is shown that a complex C of left R-modules is Gorenstein cotorsion if and only if Cn is Gorenstein cotorsion in R-Mod for all n ā ā¤ and [Formula: see text] is exact for any Gorenstein flat complex G; and [Formula: see text] is a hereditary cotorsion theory over a right coherent ring R, where [Formula: see text] and [Formula: see text] denote the classes of all Gorenstein flat and Gorenstein cotorsion complexes respectively. Also Gorenstein cotorsion envelopes and Gorenstein flat covers of complexes are considered.
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