STABLE EQUIVALENCES OF MORITA TYPE DO NOT PRESERVE TENSOR PRODUCTS AND TRIVIAL EXTENSIONS OF ALGEBRAS

被引：4

作者：

Liu, Yuming ^{[1
]}

Zhou, Guodong ^{[2
]}

Zimmermann, Alexander ^{[3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Dong Chuan Rd 500, Shanghai 200241, Peoples R China

[3] Univ Picardie, Fac Math & LAMFA, CNRS, UMR 7352, 33 Rue St Leu, F-80039 Amiens 1, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 05期

关键词：

Stable equivalence of Morita type; tensor product; trivial extension; center; stable center; CATEGORIES;

D O I：

10.1090/proc/13448

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that derived equivalences preserve tensor products and trivial extensions. We disprove both constructions for stable equivalences of Morita type.

引用

页码：1881 / 1890

页数：10

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