Gorenstein FC-projective modules

Abstract

In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-projective dimensions, and characterize rings over which every module is Gorenstein FC-projective and rings over which every submodule of a projective is Gorenstein FC-projective, respectively. Under an almost excellent extension of rings, we obtain several invariant properties of Gorenstein FC-projective modules and Gorenstein FC-projective dimensions.