Czechoslovak Mathematical Journal, Vol. 68, No. 3, pp. 741-754, 2018


Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

Fangdi Kong, Dejun Wu

Received December 18, 2016.   First published February 16, 2018.

Abstract:  We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.
Keywords:  Cohen factorization; restricted homological dimension; Cohen-Macaulay ring
Classification MSC:  13D02, 13D05


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Affiliations:   Fangdi Kong, College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China, e-mail: kongfd@lut.cn; Dejun Wu, Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China, e-mail: wudj@lut.cn


 
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