Repetitive equivalences and good Wakamatsu-tilting modules

Abstract

Let $R$ be a ring and $T$ be a good Wakamatsu-tilting module with $S$ the endomorphism ring. We prove that $T$ induces an equivalence between stable categories of repetitive algebras of $R$ and $S$.

The result were reported in 2012 (Shanghai), 2013 (Sanya). It is referenced in arXiv:1307.0203 (Wakamatsu-silting complexes)

References in corpus (1)

• Modules of G-dimension zero over local rings with the cube of maximal ideal being zero