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arXiv · 2011.09253

A brick version of a theorem of Auslander

Francesco Sentieri
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Abstract

We prove that a finite dimensional algebra $\Lambda$ is $\tau-$tilting finite if and only if all the bricks over $\Lambda$ are finitely generated. This is obtained as a consequence of the existence of proper locally maximal torsion classes for $\tau-$tilting infinite algebras.

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Francesco Sentieri. 2020-11-18. A brick version of a theorem of Auslander. https://arxiv.org/abs/2011.09253

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