Restricted Homological Dimensions Over Local Homomorphisms and Cohen-Macaulayness



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.


Cohen factorization restricted homological dimension Cohen-Macaulay ring 

MSC 2010

13D02 13D05 


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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.College of Electrical and Information EngineeringLanzhou University of TechnologyLanzhouChina
  2. 2.Department of Applied MathematicsLanzhou University of TechnologyLanzhouChina

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