Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness |
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| Authors: | Fangdi Kong Dejun Wu |
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| Institution: | 1.College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou, Gansu,China;2.Department of Applied Mathematics,Lanzhou University of Technology,Lanzhou, Gansu,China |
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| Abstract: | 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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