Singularity Categories with Respect to Ding Projective Modules

被引：0

作者：

Wen Jing CHEN ^{[1
]}

Zhong Kui LIU ^{[1
]}

Xiao Yan YANG ^{[1
]}

机构：

[1] Department of Mathematics,Northwest Normal University

来源：

Acta Mathematica Sinica,English Series | 2017年 / 06期

基金：

中国国家自然科学基金;

关键词：

Ding projective module; Ding singularity category; Ding defect category;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

We introduce the singularity category with respect to Ding projective modules, D;（R）,as the Verdier quotient of Ding derived category D;（R） by triangulated subcategory K;（DP）, and give some triangle equivalences. Assume DP is precovering. We show that D;（R）≌K;（DP）and D;（R）≌D;（R）. We prove that each R-module is of finite Ding projective dimension if and only if D;（R） = 0.

引用

页码：793 / 806

页数：14

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