Geodesic
Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 741-754.

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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.
DOI : 10.21136/CMJ.2018.0638-16
Classification : 13D02, 13D05
Keywords: Cohen factorization; restricted homological dimension; Cohen-Macaulay ring 
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Kong, Fangdi; Wu, Dejun. Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 741-754. doi : 10.21136/CMJ.2018.0638-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0638-16/

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