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Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

Fangdi Kong, Dejun Wu (2018)

Czechoslovak Mathematical Journal

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.

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