On singular equivalences of Morita type

Guodong Zhou (1) , Alexander Zimmermann (2)

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

Stable equivalences of Morita type preserve many interesting properties and is proved to be the appropriate concept to study for equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology.

Mots clés: Singularity categories; Singular equivalences of Morita type; Hochschild homology

Domaines: Théorie des représentations [math.RT]

Guodong Zhou, Alexander Zimmermann. On singular equivalences of Morita type. Journal of Algebra, 2013, 385, pp.64-79. ⟨hal-00779337⟩