τ-Tilting finiteness of two-point algebras II

被引：0

作者：

Wang, Qi ^{[1
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 02期

基金：

国家重点研发计划; 中国博士后科学基金;

关键词：

Minimal tau-tilting infinite; silting objects; two-point algebras;

D O I：

10.1142/S0219498825500549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explain a strategy on g-vectors to discover some new minimal tau-tilting infinite two-point algebras. Consequently, the tau-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. Moreover, we find that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.

引用

页数：33

共 4 条

[1] Derived tame local and two-point algebras
Bekkert, Viktor
Drozd, Yuriy
Futorny, Vyacheslav
JOURNAL OF ALGEBRA, 2009, 322 (07) : 2433 - 2448
[2] τ-Tilting Finite Algebras, Bricks, and -Vectors
Demonet, Laurent
Iyama, Osamu
Jasso, Gustavo
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (03) : 852 - 892
[3] Classifying tilting complexes over preprojective algebras of Dynkin type
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ALGEBRA & NUMBER THEORY, 2017, 11 (06) : 1287 - 1315
[4] Examples of Tilting-Discrete Self-Injective Algebras Which Are Not Silting-Discrete
Adachi, Takahide
Kase, Ryoichi
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2024, 60 (02) : 373 - 411

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