Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

Czechoslovak Mathematical Journal

Fangdi Kong, Dejun Wu¹ 

关键词: Cohen factorization;    restricted homological dimension;    Cohen-Macaulay ring;   

DOI  :  10.21136/CMJ.2018.0638-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown