Restricted Homological Dimensions Over Local Homomorphisms and Cohen-Macaulayness
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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.
KeywordsCohen factorization restricted homological dimension Cohen-Macaulay ring
MSC 201013D02 13D05
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