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

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

Funding

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.

Funders	Funder number
NSERC of Canada
National Science Foundation (NSF)	DMS-1254567, MSPRF-1502881

Keywords

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

ASJC Scopus subject areas

General Mathematics

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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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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

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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