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.

引用

页数：10

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