Esmaeelnezhad, A. (2015). COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION. Journal of Algebraic Systems, 2(2), 125-135. doi: 10.22044/jas.2015.361
A. Esmaeelnezhad. "COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION". Journal of Algebraic Systems, 2, 2, 2015, 125-135. doi: 10.22044/jas.2015.361
Esmaeelnezhad, A. (2015). 'COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION', Journal of Algebraic Systems, 2(2), pp. 125-135. doi: 10.22044/jas.2015.361
Esmaeelnezhad, A. COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION. Journal of Algebraic Systems, 2015; 2(2): 125-135. doi: 10.22044/jas.2015.361
COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION
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.
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