Self-injective algebras under derived equivalences

被引：0
|
作者：
Xi, Changchang [1 ,2 ]
Zhang, Jin [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Derived equivalence; Grothendieck group; Nakayama permutation; Self-injective algebra; Symmetric algebra; Weakly symmetric algebra;
D O I：
10.1016/j.jpaa.2024.107795
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Nakayama permutations of two derived equivalent, self-injective Artin algebras are conjugate. A different but elementary approach is given to showing that the weak symmetry and self-injectivity of finite-dimensional algebras over an arbitrary field are preserved under derived equivalences. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：11
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