Gorenstein algebras and recollements

被引：4

作者：

Ma, Xin ^{[1
]}

Zhao, Tiwei ^{[2
]}

Huang, Zhaoyong ^{[3
]}

机构：

[1] Henan Univ Engn, Coll Sci, Zhengzhou, Henan, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 09期

关键词：

Gorenstein algebras; perfect objects; recollements; relative derived categories; virtually Gorenstein algebras; MODULES; PAIRS;

D O I：

10.1080/00927872.2019.1567747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A, , and be artin algebras. We prove that if there is a recollement of the bounded Gorenstein derived category relative to the bounded Gorenstein derived categories and , then A is Gorenstein if and only if so are and . In addition, we prove that a virtually Gorenstein algebra A is Gorenstein if and only if the bounded homotopy category of (finitely generated) projective left A-modules and that of (finitely generated) injective left A-modules coincide.

引用

页码：3527 / 3538

页数：12

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