τ-tilting finite triangular matrix algebras

被引：8
|
作者：
Aihara, Takuma [1 ]
Honma, Takahiro [2 ]
机构：
[1] Tokyo Gakugei Univ, Dept Math, 4-1-1 Nukuikita Machi, Koganei, Tokyo 1848501, Japan
[2] Tokyo Univ Sci, Grad Sch Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 12期
关键词：
Silting object; Silting-discrete; tau-tilting finite; Triangular matrix algebra; REPRESENTATION TYPE; THEOREM;
D O I：
10.1016/j.jpaa.2021.106785
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is tau-tilting finite. In particular, we classify algebras over which triangular matrix algebras are tau-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete. (C) 2021 Elsevier B.V. All rights reserved.
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页数：10
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