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Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

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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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Authors and Affiliations

  1. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China

    Fangdi Kong

  2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China

    Dejun Wu

Authors
  1. Fangdi Kong
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  2. Dejun Wu
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Correspondence to Fangdi Kong.

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Kong, F., Wu, D. Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness. Czech Math J 68, 741–754 (2018). https://doi.org/10.21136/CMJ.2018.0638-16

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  • DOI: https://doi.org/10.21136/CMJ.2018.0638-16

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