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Gorenstein Projective Precovers In The Category Of Modules, Katelyn Coggins
Gorenstein Projective Precovers In The Category Of Modules, Katelyn Coggins
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It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the class of Gorenstein projective modules, GP, is precovering. We will prove that the class of Gorenstein projective modules is special precovering over any left GF-closed ring R such that every Gorenstein projective module is Gorenstein flat and every Gorenstein flat module has finite Gorenstein projective dimension. This class of rings includes that of right coherent and left n-perfect rings.