李color代数的双导子

doi:10.6040/j.issn.1671-9352.0.2023.366

《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (11): 122-129.doi: 10.6040/j.issn.1671-9352.0.2023.366

• • 上一篇

李color代数的双导子

李昕洋¹,孙冰^1*,周鑫²

1.长春师范大学数学学院, 吉林长春 130032;2.伊犁师范大学数学与统计学院, 新疆伊宁 835000

发布日期:2025-11-11
通讯作者: 孙冰(1989— ),女,副教授,博士,研究方向为李代数及其应用. E-mail:sunb427@nenu.edu.cn
作者简介:李昕洋(1999— ),女,硕士研究生,研究方向为李代数及其应用. E-mail:3166962952@qq.com
基金资助:
吉林省自然科学基金资助项目(YDZJ202301ZYTS381);吉林省教育厅科学技术研究资助项目(JJKH20220821KJ);新疆维吾尔自治区高校科研计划资助项目(XJEDU2021Y042);长春师范大学自然科学基金资助项目(长师大自科合字［2021］第011号);国家自然科学基金青年资助项目(11901057)

The biderivation of Lie color algebras

LI Xinyang¹, SUN Bing^1*, ZHOU Xin²

1. School of Mathematics, Changchun Normal University, Changchun 130032, Jilin, China;
2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China

Published:2025-11-11

摘要/Abstract

摘要： 定义李color代数上的双导子,建立满足一定条件的李color代数的双导子、交换映射、型心之间的内在联系。

关键词: 李color代数, 双导子, 型心, 交换映射

Abstract: In this paper, the biderivations of Lie color algebras are defined, and the internal relations among biderivations, commuting maps and centroids of Lie color algebras satisfying certain conditions are established.

Key words: Lie color algebra, biderivation, centroid, commuting maps

中图分类号:

O159

李昕洋,孙冰,周鑫. 李color代数的双导子[J]. 《山东大学学报(理学版)》, 2025, 60(11): 122-129.

LI Xinyang, SUN Bing, ZHOU Xin. The biderivation of Lie color algebras[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(11): 122-129.

参考文献

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李color代数的双导子

The biderivation of Lie color algebras

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