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

Ibrahim Assem; Ralf Schiffler; Khrystyna Serhiyenko

doi:10.1007/s00013-017-1121-5

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

Ibrahim Assem, Ralf Schiffler, Khrystyna Serhiyenko

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	9-18
Number of pages	10
Journal	Archiv der Mathematik
Volume	110
Issue number	1
DOIs	https://doi.org/10.1007/s00013-017-1121-5
State	Published - 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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10.1007/s00013-017-1121-5

Cite this

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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.",

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AU - Serhiyenko, Khrystyna

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N2 - 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.

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KW - Auslander–Reiten quiver

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KW - Local slice

KW - Relation–extension

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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