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τ-Tilting finite cluster-tilted algebras

Part of: Representation theory of rings and algebras

Published online by Cambridge University Press:  21 July 2020

Stephen Zito
Stephen Zito*
Affiliation:
Department of Mathematics, University of Connecticut-WaterburyWaterbury, CT06702, USA (stephen.zito@uconn.edu)
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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

tilted algebrascluster-tilted algebrasτ-tilting finite algebras

MSC classification

Primary: 16G60: Representation type (finite, tame, wild, etc.)
Secondary: 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 63 , Issue 4 , November 2020 , pp. 950 - 955
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Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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