On singular equivalences of Morita type

被引：25

作者：

Zhou, Guodong ^{[1
]}

Zimmermann, Alexander ^{[2
,3
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Univ Picardie, Dept Math, F-80039 Amiens 1, France

[3] CNRS, LAMFA, UMR 7352, F-80039 Amiens 1, France

来源：

JOURNAL OF ALGEBRA | 2013年 / 385卷

关键词：

Singularity categories; Singular equivalences of Morita type; Hochschild homology; STABLE EQUIVALENCES; HOCHSCHILD COHOMOLOGY; CATEGORIES; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2013.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Stable equivalences of Morita type preserve many interesting properties and are proved to be the appropriate concept for studying equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular, equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：64 / 79

页数：16

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