Examples of Tilting-Discrete Self-Injective Algebras Which Are Not Silting-Discrete

被引：0

作者：

Adachi, Takahide ^{[1
]}

Kase, Ryoichi ^{[2
]}

机构：

[1] Yamaguchi Univ, Fac Global & Sci Studies, 1677-1 Yoshida, Yamaguchi 7538541, Japan

[2] Okayama Univ Sci, Dept Informat Sci & Engn, 1-1 Ridaicho, Kita Ku, Okayama 7000005, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2024年 / 60卷 / 02期

关键词：

silting objects; tilting objects; mutation; self-injective algebras; PREPROJECTIVE ALGEBRAS; FROBENIUSEAN ALGEBRAS; FINITE-ALGEBRAS;

D O I：

10.4171/PRIMS/60-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the notion of nu- stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where nu is a triangle auto-equivalence of the bounded homotopy category of finitely generated projective modules. Moreover, we give an example of tilting-discrete self-injective algebras which are not silting-discrete.

引用

页码：373 / 411

页数：39

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