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Jordan李代数的次理想 被引量：5

Subideals of Jordan Lie Algebras
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摘要 研究Jordan李代数的次理想.结果表明:Jordan李代数的完全次理想是理想,可解次理想一定包含可解根基;幂零的Jordan李代数的任何子代数都是次理想,并得到了次理想变为理想的一些必要条件. The main purpose of the present paper is to give some properties for subideals of Jordan Lie algebras. Every perfect subideal of Jordan Lie algebras is its ideal and solvable subideals are contained in its solvable radical. Moreover, every subalgebra of nilpotent Jordan Lie algebras is its subideal and some necessary conditions under which subideals become ideals for Jordan Lie algebras have been obtained
作者 温启军
机构地区 长春大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2011年第6期1014-1018,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10626011)
关键词 Jordan李代数 Engel定理 次理想 理想 Jordan Lie algebras Engel＇ s theorem subideals ideals
分类号 O152.5 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Susumu Okubo, Kamiya N. Jordan-Lie Super Algebra and Jordan-Lie Triple System [ J ]. Journal of Algebra, 1997, 198(2) : 388-411.
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二级参考文献26

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共引文献6

同被引文献26

  • 1Strade H, Farnsteiner R. Modular Lie Algebras and Their Representations [M]. New York: Marcel Dekker, Inc, 1988.
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  • 4Hodge T L. Lie Triple System, Restricted Lie Triple System and Algebraic Groups [J]. J Algebra, 2001, 244(2) : 533-580.
  • 5Dokas I, Loday J L. On Restricted Leibniz Algebras [J]. Comm Algebra, 2006, 34(12) ： 4467 -4478.
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  • 8Dzhumadil'daev A S, Abdykassymova S A. Leibniz Algebras in Characteristic p [J]. C R Acad Sci Paris S:rie I Math, 2001, 332(12): 1047-1052.
  • 9Patsourakos A. On Nilpotent Properties of Leibniz Algebras[J]. Comm Algebra, 2007, 35(12)： 3828-3834.
  • 10Barnes D W. Some Theorems on Leibniz Algebras [J]. Comm Algebra, 2011, 39(7) : 2463-2472.

引证文献5

二级引证文献11

吉林大学学报（理学版）
2011年 第6期

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