@article { author = {Esmaeelnezhad, A.}, title = {COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION}, journal = {Journal of Algebraic Systems}, volume = {2}, number = {2}, pages = {125-135}, year = {2015}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2015.361}, 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 = {Semi-dualizing ideal,Amalgamated duplication,Gorenstein homological dimension,Cohen-Macaulay homological dimension}, url = {https://jas.shahroodut.ac.ir/article_361.html}, eprint = {https://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdf} }