Stable equivalences of morita type do not preserve tensor products and trivial extensions of algebras

Yuming Liu; Guodong Zhou; Alexander Zimmermann

doi:10.1090/proc/13448

Stable equivalences of morita type do not preserve tensor products and trivial extensions of algebras

Yuming Liu
, Guodong Zhou
, Alexander Zimmermann

School of Mathematical Sciences

Beijing Normal University
Université de Picardie Jules Verne

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	1881-1890
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	5
DOIs	https://doi.org/10.1090/proc/13448
State	Published - 2017

Keywords

Center
Stable center
Stable equivalence of Morita type
Tensor product
Trivial extension

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10.1090/proc/13448

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title = "Stable equivalences of morita type do not preserve tensor products and trivial extensions of algebras",

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

keywords = "Center, Stable center, Stable equivalence of Morita type, Tensor product, Trivial extension",

author = "Yuming Liu and Guodong Zhou and Alexander Zimmermann",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

doi = "10.1090/proc/13448",

language = "英语",

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pages = "1881--1890",

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T1 - Stable equivalences of morita type do not preserve tensor products and trivial extensions of algebras

AU - Liu, Yuming

AU - Zhou, Guodong

AU - Zimmermann, Alexander

PY - 2017

Y1 - 2017

N2 - It is well known that derived equivalences preserve tensor products and trivial extensions. We disprove both constructions for stable equivalences of Morita type.

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

KW - Center

KW - Stable center

KW - Stable equivalence of Morita type

KW - Tensor product

KW - Trivial extension

UR - https://www.scopus.com/pages/publications/85013656771

U2 - 10.1090/proc/13448

DO - 10.1090/proc/13448

M3 - 文章

AN - SCOPUS:85013656771

SN - 0002-9939

VL - 145

SP - 1881

EP - 1890

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

Stable equivalences of morita type do not preserve tensor products and trivial extensions of algebras

Abstract

Keywords

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