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
相关论文
共 50 条
  • [1] Modules over cluster-tilted algebras that do not lie on local slices
    Ibrahim Assem
    Ralf Schiffler
    Khrystyna Serhiyenko
    Archiv der Mathematik, 2018, 110 : 9 - 18
  • [2] ON TILTING MODULES OVER CLUSTER-TILTED ALGEBRAS
    Smith, David
    ILLINOIS JOURNAL OF MATHEMATICS, 2008, 52 (04) : 1223 - 1247
  • [3] Cluster-tilted algebras and slices
    Assem, Ibrahim
    Brustle, Thomas
    Schiffler, Ralf
    JOURNAL OF ALGEBRA, 2008, 319 (08) : 3464 - 3479
  • [4] Projective Dimension of Modules over Cluster-Tilted Algebras
    Louis Beaudet
    Thomas Brüstle
    Gordana Todorov
    Algebras and Representation Theory, 2014, 17 : 1797 - 1807
  • [5] Induced and coinduced modules over cluster-tilted algebras
    Schiffler, Ralf
    Serhiyenko, Khrystyna
    JOURNAL OF ALGEBRA, 2017, 472 : 226 - 258
  • [6] Zavadskij modules over cluster-tilted algebras of type A
    Canadas, Agustin Moreno
    Serna, Robinson -Julian
    Gaviria, Isaias David Marin
    ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (09): : 3435 - 3451
  • [7] Projective Dimension of Modules over Cluster-Tilted Algebras
    Beaudet, Louis
    Bruestle, Thomas
    Todorov, Gordana
    ALGEBRAS AND REPRESENTATION THEORY, 2014, 17 (06) : 1797 - 1807
  • [8] The Torsionless Modules Over Cluster-Tilted Algebras of Type An
    Lingling Yao
    Algebras and Representation Theory, 2015, 18 : 1101 - 1121
  • [9] The Torsionless Modules Over Cluster-Tilted Algebras of Type An
    Yao, Lingling
    ALGEBRAS AND REPRESENTATION THEORY, 2015, 18 (04) : 1101 - 1121
  • [10] Injective Presentations of Induced Modules over Cluster-Tilted Algebras
    Schiffler, Ralf
    Serhiyenko, Khrystyna
    ALGEBRAS AND REPRESENTATION THEORY, 2018, 21 (02) : 447 - 470
12345