Gorenstein projective modules and recollements over triangular matrix rings

被引：16

作者：

Li, Huanhuan ^{[1
]}

Zheng, Yuefei ^{[2
]}

Hu, Jiangsheng ^{[3
]}

Zhu, Haiyan ^{[4
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China

[2] Northwest A&F Univ, Coll Sci, Yangling, Shaanxi, Peoples R China

[3] Jiangsu Univ Technol, Dept Math, Changzhou 213001, Jiangsu, Peoples R China

[4] Zhejiang Univ Technol, Coll Sci, Hangzhou, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 11期

关键词：

Gorenstein projective modules; recollements; triangulated categories; triangle-equivalences; SINGULARITY CATEGORIES; TATE COHOMOLOGY; FINITE; DIMENSIONS;

D O I：

10.1080/00927872.2020.1775240

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Letbe a triangular matrix ring withRandSrings andanR-S-bimodule. We describe Gorenstein projective modules overT. In particular, we refine a result of Enochs, Cortes-Izurdiaga, and Torrecillas [Gorenstein conditions over triangular matrix rings, J. Pure Appl. Algebra 218 (2014), no. 8, 1544-1554]. Also, we consider when the recollement ofrestricts to a recollement of its subcategoryconsisting of complexes with finite Gorenstein projective dimension. As applications, we obtain recollements of the stable categoryand recollements of the Gorenstein defect category

引用

页码：4932 / 4947

页数：16

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