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Happel's question, Han's conjecture and $τ$-Hochschild (co)homology
Published 5 Sep 2025 in math.KT, math.RA, and math.RT | (2509.05135v1)
Abstract: We introduce the $τ$-Hochschild (co)homology of a finite dimensional associative algebra $Λ$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $Λ$, Happel's question and Han's conjecture are related to the $τ$-Hochschild (co)homology.
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