%0 Journal Article %T COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Esmaeelnezhad, A. %D 2015 %\ 02/01/2015 %V 2 %N 2 %P 125-135 %! COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION %K Semi-dualizing ideal %K Amalgamated duplication %K Gorenstein homological dimension %K Cohen-Macaulay homological dimension %R 10.22044/jas.2015.361 %X 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. %U https://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdf