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.
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页码：1881 / 1890
页数：10
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