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

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

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.

源语言	英语
页（从-至）	1881-1890
页数	10
期刊	Proceedings of the American Mathematical Society
卷	145
期	5
DOI	https://doi.org/10.1090/proc/13448
出版状态	已出版 - 2017

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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",

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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

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KW - Tensor product

KW - Trivial extension

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

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

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