REPORT ON THE FINITENESS OF SILTING OBJECTS

被引：10

作者：

Aihara, Takuma ^{[1
]}

Honma, Takahiro ^{[2
]}

Miyamoto, Kengo ^{[3
]}

Wang, Qi ^{[1
,4
]}

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

[3] Ibaraki Univ, Dept Comp & Informat Sci, 4-12-1 Nakanarusawa Cho, Hitachi, Ibaraki 3168511, Japan

[4] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2021年 / 64卷 / 02期

关键词：

silting object; support tau-tilting module; tau-tilting-finite; WEAKLY SYMMETRIC ALGEBRAS; TAU-TILTING MODULES; PREPROJECTIVE ALGEBRAS;

D O I：

10.1017/S0013091521000109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, we study two classes of tau-tilting-finite algebras and give the numbers of their two-term silting objects. Finally, we explore when tau-tilting-finiteness implies representation-finiteness and obtain several classes of algebras in which a tau-tilting-finite algebra is representation-finite.

引用

页码：217 / 233

页数：17

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