Simple modules and quasi-tubes on self-injective algebras of polynomial growth

被引：0

作者：

Zhang, Zhen ^{[1
,2
]}

机构：

[1] Beijing Normal Univ, Coll Educ Future, Zhuhai, Peoples R China

[2] Beijing Normal Univ, Coll Educ Future, Zhuhai 519087, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 04期

关键词：

Quasi-tube; simple-minded system; simple module; self-injective algebra of polynomial growth; SIMPLE-MINDED SYSTEMS;

D O I：

10.1080/00927872.2023.2268212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a non-local self-injective algebra of polynomial growth over an algebraically closed field. We show that the set of simple modules is not contained in a quasi-tube.

引用

页码：1622 / 1635

页数：14

共 6 条

[1] On simple-minded systems and τ-periodic modules of self-injective algebras
Chan, Aaron
Liu, Yuming
Zhang, Zhen
JOURNAL OF ALGEBRA, 2020, 560 : 416 - 441
[2] On Simple-Minded Systems Over Representation-Finite Self-Injective Algebras
Guo, Jing
Liu, Yuming
Ye, Yu
Zhang, Zhen
ALGEBRAS AND REPRESENTATION THEORY, 2022, 25 (04) : 983 - 1002
[3] On Simple-Minded Systems Over Representation-Finite Self-Injective Algebras
Jing Guo
Yuming Liu
Yu Ye
Zhen Zhang
Algebras and Representation Theory, 2022, 25 : 983 - 1002
[4] Two-term Tilting Complexes and Simple-minded Systems of Self-injective Nakayama Algebras
Aaron Chan
Algebras and Representation Theory, 2015, 18 : 183 - 203
[5] Two-term Tilting Complexes and Simple-minded Systems of Self-injective Nakayama Algebras
Chan, Aaron
ALGEBRAS AND REPRESENTATION THEORY, 2015, 18 (01) : 183 - 203
[6] The Liftability Question for Stable Equivalences Between Representation-Finite Self-Injective Algebras
Li, Nengqun
Liu, Yuming
ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (05) : 1519 - 1547

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