ON GORENSTEIN GLOBAL AND GORENSTEIN WEAK GLOBAL DIMENSIONS

被引：0
作者：
Wang, Junpeng [1 ]
Yang, Gang [2 ]
Shao, Qingyu [3 ]
Zhang, Xiaoxiang [3 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2023年 / 174卷
基金：
中国国家自然科学基金;
关键词：
Gorenstein (weak) global dimension; Gorenstein projective module; (projectively coresolving) Gorenstein flat module; singularity category;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well-known that the weak global dimension of a ring does not exceed its global dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for coherent rings. We extend this result to an arbitrary ring. As applications, we characterize the finiteness of (Gorenstein) global dimension by singularity categories and Gorenstein flat modules.
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收藏
页码：45 / 67
页数：23
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