Happel's question, Han's conjecture and $τ$-Hochschild (co)homology
Published: Sep 5, 2025
Last Updated: Sep 5, 2025
Authors:Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar
Abstract
We introduce the $\tau$-Hochschild (co)homology of a finite dimensional associative algebra $\Lambda$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $\Lambda$, Happel's question and Han's conjecture are related to the $\tau$-Hochschild (co)homology.