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Keywords:
Cohen factorization; restricted homological dimension; Cohen-Macaulay ring
Cohen factorization; restricted homological dimension; Cohen-Macaulay ring
Summary:
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.
References:
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