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Happel's question, Han's conjecture and $τ$-Hochschild (co)homology (2509.05135v1)
Published 5 Sep 2025 in math.KT, math.RA, and math.RT
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.
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