Modules over cluster-tilted algebras that do not lie on local slices

Ibrahim Assem, Ralf Schiffler, Khrystyna Serhiyenko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We characterize the indecomposable transjective modules over an arbitrary cluster-tilted algebra that do not lie on a local slice, and we provide a sharp upper bound for the number of (isoclasses of) these modules.

Original languageEnglish
Pages (from-to)9-18
Number of pages10
JournalArchiv der Mathematik
Volume110
Issue number1
DOIs
StatePublished - Jan 1 2018

Bibliographical note

Funding Information:
The first author gratefully acknowledges partial support from the NSERC of Canada. The second author was supported by the NSF CAREER Grant DMS-1254567. The third author was supported by the NSF Postdoctoral fellowship MSPRF-1502881.

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.

Keywords

  • Auslander–Reiten quiver
  • Cluster-tilted algebra
  • Local slice
  • Relation–extension

ASJC Scopus subject areas

  • Mathematics (all)

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