On singular equivalences of Morita type

By Guodong Zhou, Alexander Zimmermann. 2013

52 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3aaa3d339da0348cbde7bfb56b7a607b4b013083

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In Algebra and Number Theory

1. Oyvind Solberg
2. Oystein Skartsaeterhagen
3. Chrysostomos Psaroudakis

In Geometry and Topology

1. Oyvind Solberg
2. Oystein Skartsaeterhagen
3. Chrysostomos Psaroudakis

In Mathematical Physics

1. Oyvind Solberg
2. Oystein Skartsaeterhagen
3. Chrysostomos Psaroudakis

Citations in the corpus

• Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements (2014, background): “Furthermore, in [65], Hochschild (co)homology is discussed in connection with a particular class of singular equivalences.”