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

Liu, Yuming; Zhou, Guodong; Zimmermann, Alexander

doi:10.1090/proc/13448

Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras
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by Yuming Liu, Guodong Zhou and Alexander Zimmermann

Proc. Amer. Math. Soc. 145 (2017), 1881-1890

DOI: https://doi.org/10.1090/proc/13448

Published electronically: January 25, 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.

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