Constructing tilted algebras from cluster-tilted algebras |
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Authors: | Marco Angel Bertani-Økland Steffen Oppermann Anette Wrålsen |
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Institution: | Institutt for Matematiske Fag, NTNU, 7491 Trondheim, Norway |
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Abstract: | Any cluster-tilted algebra is the relation extension of a tilted algebra. Given the distribution of a cluster-tilting object in the Auslander–Reiten quiver of the cluster category, we present a method to construct all tilted algebras whose relation extension is the endomorphism ring of this cluster-tilting object. |
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