Some Remarks on Gorenstein Projective Precovers

In this paper, we prove that for a n-perfect ring R various classes of relative Gorenstein projective R-modules are special precovering, among them including the Gorenstein projectives and Ding projectives. Also we prove that the class of projectively coresolved Gorenstein flat PGF (R) fulfils the same feature. We also introduce a new class of Gorenstein projective R-modules relative to the Auslander class ₂ (R) of a semidualizing (R, S) -bimodule R CS.