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

Producción científica: Article › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	9-18
Número de páginas	10
Publicación	Archiv der Mathematik
Volumen	110
N.º	1
DOI	https://doi.org/10.1007/s00013-017-1121-5
Estado	Published - ene 1 2018

Nota bibliográfica

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

Financiación

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.

Financiadores	Número del financiador
NSERC of Canada University
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	1254567, DMS-1254567, 1502881

ASJC Scopus subject areas

General Mathematics

Acceder al documento

10.1007/s00013-017-1121-5

Otros archivos y enlaces

Citar esto

@article{db7bab4c8474456cb085f118a1eaf781,

title = "Modules over cluster-tilted algebras that do not lie on local slices",

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.",

keywords = "Auslander–Reiten quiver, Cluster-tilted algebra, Local slice, Relation–extension",

author = "Ibrahim Assem and Ralf Schiffler and Khrystyna Serhiyenko",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

month = jan,

day = "1",

doi = "10.1007/s00013-017-1121-5",

language = "English",

volume = "110",

pages = "9--18",

number = "1",

}

TY - JOUR

T1 - Modules over cluster-tilted algebras that do not lie on local slices

AU - Assem, Ibrahim

AU - Schiffler, Ralf

AU - Serhiyenko, Khrystyna

PY - 2018/1/1

Y1 - 2018/1/1

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.

AB - 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.

KW - Auslander–Reiten quiver

KW - Cluster-tilted algebra

KW - Local slice

KW - Relation–extension

UR - https://www.scopus.com/pages/publications/85034225334

UR - https://www.scopus.com/pages/publications/85034225334#tab=citedBy

U2 - 10.1007/s00013-017-1121-5

DO - 10.1007/s00013-017-1121-5

M3 - Article

AN - SCOPUS:85034225334

SN - 0003-889X

VL - 110

SP - 9

EP - 18

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

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

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto