Czechoslovak Mathematical Journal, first online, pp. 1-14
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
Affiliations: Fangdi Kong, College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China, e-mail: email@example.com; Dejun Wu, Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China, e-mail: firstname.lastname@example.org