The Jordan-Hölder property of torsion-free classes in a quiver of type a

被引：0
作者：
Wang, Li [1 ]
Wei, Jiaqun [2 ]
Zhang, Haicheng [3 ]
机构：
[1] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Peoples R China
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 04期
基金：
中国国家自然科学基金;
关键词：
c-sortable element; Jordan-H & ouml; lder property; torsion-free class;
D O I：
10.1080/00927872.2024.2412165
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the torsion-free classes satisfying the Jordan-H & ouml;lder property in the representation category of a quiver of type A. Explicitly, we use reflection functors and c-sortable elements to give a combinatorial criterion for determining such torsion-free classes.
引用
收藏
页码：1416 / 1427
页数：12
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