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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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