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τ-Tilting finite cluster-tilted algebras

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We prove if B is a cluster-tilted algebra, then B is τB-tilting finite if and only if B is representation-finite. Click to show full abstract

We prove if B is a cluster-tilted algebra, then B is τB-tilting finite if and only if B is representation-finite.

Keywords: finite cluster; cluster tilted; tilting finite; tilted algebras

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2020

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