Cluster-tilted and quasi-tilted algebras

Ibrahim Assem, Ralf Schiffler, Khrystyna Serhiyenko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, we prove that relation-extensions of quasi-tilted algebras are 2-Calabi–Yau tilted. With the objective of describing the module category of a cluster-tilted algebra of euclidean type, we define the notion of reflection so that any two local slices can be reached one from the other by a sequence of reflections and coreflections. We then give an algorithmic procedure for constructing the tubes of a cluster-tilted algebra of euclidean type. Our main result characterizes quasi-tilted algebras whose relation-extensions are cluster-tilted of euclidean type.

Original languageEnglish
Pages (from-to)2266-2288
Number of pages23
JournalJournal of Pure and Applied Algebra
Issue number9
StatePublished - Sep 1 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

ASJC Scopus subject areas

  • Algebra and Number Theory


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