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

共 50 条

[31] MORITA EQUIVALENCES AND STABLE EQUIVALENCES FOR WREATH-PRODUCTS OF FINITE-GROUPS
STRICKER, MA
COMMUNICATIONS IN ALGEBRA, 1992, 20 (12) : 3691 - 3701
[32] Stable equivalences of Morita type and stable Hochschild cohomology rings
Shengyong Pan
Guodong Zhou
Archiv der Mathematik, 2010, 94 : 511 - 518
[33] Stable equivalences of Morita type and stable Hochschild cohomology rings
Pan, Shengyong
Zhou, Guodong
ARCHIV DER MATHEMATIK, 2010, 94 (06) : 511 - 518
[34] ON STABLE EQUIVALENCE OF TENSOR PRODUCTS OF ALGEBRAS
Mroczynska, Karolina
Pogorzaly, Zygmunt
COMMUNICATIONS IN ALGEBRA, 2015, 43 (03) : 916 - 934
[35] Morita equivalences of cyclotomic Hecke algebras of type G(r,p,n)
Hu, Jun
Mathas, Andrew
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2009, 628 : 169 - 194
[36] Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings
Velez-Marulanda, Jose A.
JOURNAL OF ALGEBRA, 2023, 630 : 225 - 247
[37] Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An
Pogorzaly, Zygmunt
ALGEBRA COLLOQUIUM, 2025, 32 (01) : 169 - 180
[38] On tensor products of path algebras of type A
Hille, Lutz
Mueller, Juergen
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 448 : 222 - 244
[39] SPLIT EXTENSIONS OF HOPF ALGEBRAS AND SEMI-TENSOR PRODUCTS
SMITH, L
MATHEMATICA SCANDINAVICA, 1970, 26 (01) : 17 - &
[40] Simple Current Extensions of Tensor Products of Vertex Operator Algebras
Yamada, Hiromichi
Yamauchi, Hiroshi
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (16) : 12778 - 12807

← 1 2 3 4 5 →