Document Type: Original Manuscript

Author

Faculty of Mathematical sciences and computer, University of Kharazmi, Tehran, Iran.

Abstract

In this paper we use "ring changed'' Gorenstein homological dimensions to define Cohen-Macaulay injective, projective and flat dimensions. For doing this we use the amalgamated duplication of the base ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions characterizes Cohen-Macaulay rings with dualizing ideals.

Keywords