| 李Rinehart代数的子代数若干性质 |
| |
| 引用本文： | 王雪冰,牛艳君,陈良云.李Rinehart代数的子代数若干性质[J].数学学报,2019,62(3):353-360. |
| |
| 作者姓名： | 王雪冰 牛艳君 陈良云 |
| |
| 作者单位： | 1.松原职业技术学院基础部 松原 138001;2.长春工程学院理学院 长春 130024;3.东北师范大学数学与统计学院 长春 130024 |
| |
| 基金项目： | 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）及吉林省教育厅项目（JJKH20180005K） |
| |
| 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.
|
| 关 键 词： | 李Rinehart代数 c-可补李Rinehart代数 E-李Rinehart代数 Frattini子代数 |
Some Properties of Subalgebras of Lie-Rinehart Algebras |
| |
| Xue Bing WANG,Yan Jun NIU,Liang Yun CHEN.Some Properties of Subalgebras of Lie-Rinehart Algebras[J].Acta Mathematica Sinica,2019,62(3):353-360. |
| |
| Authors: | Xue Bing WANG Yan Jun NIU Liang Yun CHEN |
| |
| Institution: | 1.Department of Basic, Songyuan Vocational Technical College, Songyuan 1138001, P. R. China;2.College of Sciences, Changchun Institute of Technology, Changchun 130024, P. R. China;3.School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China |
| |
| Abstract: | 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-Rinehart algebras. Moreover, we obtain a necessary and sufficient conditions for E-Lie-Rinehart algebras and c-supplemented Lie-Rinehart algebras, respectively. |
| |
| Keywords: | Lie-Rinehart algebras c-supplemented Lie-Rinehart algebras E-Lie-Rinehart algebras Frattini subalgebras |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
