Geodesic
Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 741-754 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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

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