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A brick version of a theorem of Auslander (2011.09253v1)
Published 18 Nov 2020 in math.RT
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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