| 白瑞蒲,魏计青,王金秀.3-Lie代数的次理想[J].数学年刊A辑,2011,32(6):647~652 |
| 3-Lie代数的次理想 |
| Subideals of 3-Lie Algebras |
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| DOI： |
| 中文关键词: 3-Lie代数 次理想 子代数 |
| 英文关键词:3-Lie algebra Subideal Subalgebra |
| 基金项目:河北省自然科学基金(No2010000194)资助的项目 |
| Author Name | Affiliation | E-mail | | BAI Ruipu | College of Mathematics and Computer Science,Hebei University,Baoding 071002,Hebei,China. | bairp1@yahoo.com.cn | | WEI Jiqing | Number Middle School,Chifeng 024000,Inner Mongolia Autonomous Region,China. | weijiqing2010@126.com | | WANG Jinxiu | College of Mathematics and Computer Science,Hebei University,Baoding 071002,Hebei,China. | wangxiuxiu0722@163.com |
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| 中文摘要: |
| 主要研究3-Lie代数的子代数及次理想的结构.证明了由次理想生成的子代数不一定是次理想.
给出了由次理想生成的子代数是次理想的充要条件. 最后研究了次理想和子代数的$G_n$-对之间的关系. |
| 英文摘要: |
| The authors mainly concern subalgebras and subideals of 3-Lie algebras.
It is proved that the subalgebra generated by subideals may not be a subideal.
And necessary and sufficient conditions for the subalgebras generated by subideals being subideals are provided.
Finally,
the relations between subideals and $G_n$-pairs of subalgebras are studied. |
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