| 3-Lie代数的次理想 |
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| 引用本文： | 白瑞蒲,魏计青,王金秀.3-Lie代数的次理想[J].数学年刊A辑(中文版),2011,32(6):647-652. |
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| 作者姓名： | 白瑞蒲 魏计青 王金秀 |
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| 作者单位： | 河北大学数学与计算机学院;赤峰二中; |
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| 基金项目： | 河北省自然科学基金(No2010000194)资助的项目 |
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| 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.
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| 关 键 词： | 3-Lie代数 次理想 子代数 |
Subideals of 3-Lie Algebras |
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| BAI Ruipu,WEI Jiqing and WANG Jinxiu.Subideals of 3-Lie Algebras[J].Chinese Annals of Mathematics,2011,32(6):647-652. |
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| Authors: | BAI Ruipu WEI Jiqing and WANG Jinxiu |
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| Institution: | BAI Ruipu~1 WEI Jiqing~2 WANG Jinxiu~1 1 College of Mathematics and Computer Science,Hebei University,Baoding 071002,Hebei,China. 2 Number 2 Middle School,Chifeng 024000,Inner Mongolia Autonomous Region,China. |
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| Abstract: | 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_npairs of subalgebras are studied. |
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| Keywords: | 3-Lie algebra Subideal Subalgebra |
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