摘要
介绍并研究hom-Lie代数及hom-Lie环的幂零性.将线性映射α由一般的线性映射限制到研究α是对合映射的情形.通过建立Lie代数与hom-Lie代数间的关系,建立起Lie代数幂零和hom-Lie代数幂零间的联系.讨论了hom-Lie代数幂零的极大值子代数条件.此外,还研究了hom-Lie环幂零的正规化子条件和极大子代数条件.
The aim of this paper is to introduce and study nilpotency of hom-Lie algebras and hom-Lie rings. The authors reduced the case where the twist map α is general linear map to the study of involutive hom-Lie algebras. This paper established a correspondence of nilpotency between Lie algebras and hom-Lie algebras. The maximal subalgebras condition for nilpotency of hom-Lie algebras is discussed. Moreover, the normalizer condition and the maximal subalgebras condition for nilpotency of hom-Lie rings are investigated.
作者
贺婷婷
徐晓宁
HE Tingting;XU Xiaoning(School of Mathematics,Liaoning University,Shenyang 110036,China)
出处
《数学年刊（A辑）》
CSCD
北大核心
2018年第4期391-406,共16页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.11501274
No.11371182)
辽宁省教育厅科学研究基金(No.L2015203)的资助
作者简介
贺婷婷,Email:1519777086@qq.com;通信作者:徐晓宁,辽宁大学数学学院,沈阳110036.Email:lnuxxn@163.com
