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

被引：2
|
作者：
Assem, Ibrahim [1 ]
Schiffler, Ralf [2 ]
Serhiyenko, Khrystyna [3 ]
机构：
[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada
[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Cluster-tilted algebra; Relation-extension; Auslander-Reiten quiver; Local slice;
D O I：
10.1007/s00013-017-1121-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：9 / 18
页数：10
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