STABLE EQUIVALENCES OF MORITA TYPE DO NOT PRESERVE TENSOR PRODUCTS AND TRIVIAL EXTENSIONS OF ALGEBRAS

Yuming Liu , Guodong Zhou (1) , Alexander Zimmermann (2)

1 East China Normal University, Department of Mathematics
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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

Domaines: Mathématiques [math]

Yuming Liu, Guodong Zhou, Alexander Zimmermann. STABLE EQUIVALENCES OF MORITA TYPE DO NOT PRESERVE TENSOR PRODUCTS AND TRIVIAL EXTENSIONS OF ALGEBRAS. Proceedings of the American Mathematical Society, 2017, 145 (5), pp.1881-1890. ⟨10.1090/proc/13448⟩. ⟨hal-03623298⟩