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arXiv · 2006.06655

$\tau$-Tilting Finite Algebras With Nonempty Left Or Right Parts Are Representation-Finite

Stephen Zito
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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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BibTeXRIS

Stephen Zito. 2020-06-11. $\tau$-Tilting Finite Algebras With Nonempty Left Or Right Parts Are Representation-Finite. https://arxiv.org/abs/2006.06655

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