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$τ$-Tilting Finite Algebras With Nonempty Left Or Right Parts Are Representation-Finite (2006.06655v3)
Published 11 Jun 2020 in math.RT
Abstract: Let $\Lambda$ be a finite dimensional algebra such that $\mathcal{L}{\Lambda}$ or $\mathcal{R}{\Lambda}\neq\emptyset$. Then $\Lambda$ is $\tau$-tilting finite if and only if $\Lambda$ is representation-finite.
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