Lattice structure of torsion classes for path algebras

被引：26

作者：

Iyama, Osamu ^{[1
]}

Reiten, Idun ^{[2
]}

Thomas, Hugh ^{[3
]}

Todorov, Gordana ^{[4
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

[2] Norges Teknisk Naturvitenskapelige Univ, Dept Math Sci, N-7491 Trondheim, Norway

[3] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

[4] Northeastern Univ, Dept Math, Boston, MA 02115 USA

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2015年 / 47卷

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

REPRESENTATIONS;

D O I：

10.1112/blms/bdv041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has exactly two vertices.

引用

页码：639 / 650

页数：12

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