摘要
本文主要把李代数的c-可补、E-代数的性质以及Frattini理论推广到更为广泛的李Rinehart代数,得到它们的若干性质,给出了可解李Rinehart代数的一个必要条件.同时,分别获得判断c-可补李Rinehart代数和E-李Rinehart代数的一个充分必要条件.
We develop c-supplemented subalgebras, E-algebras and Frattini theory of Lie algebras for Lie-Rinehart algebras, obtain its some important properties and give a necessary conditions for solvable Lie-Rinehaxt algebras. Moreover, we obtain a necessary and sufficient conditions for E-Lie-Rinehart algebras and c-supplemented Lie-Rinehart algebras, respectively.
作者
王雪冰
牛艳君
陈良云
Xue Bing WANG;Yan Jun NIU;Liang Yun CHEN(Department of Basic, Songyuan Vocational Technical College, Songyuan 1138001, P. R. China;College of Sciences, Changchun Institute of Technology, Changchun 130024, P. R. China;School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China)
出处
《数学学报（中文版）》
CSCD
北大核心
2019年第3期353-360,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11771069)
吉林省自然科学基金资助项目(20170101048JC)
吉林省教育厅项目(JJKH20180C05K)
