| 关于Malcev代数的幂零性 |
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| 引用本文： | 张知学,冯建强.关于Malcev代数的幂零性[J].东北数学,2005,21(1):81-86. |
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| 作者姓名： | 张知学 冯建强 |
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| 作者单位： | Institute of Mathematics and Computers Hebei University，Baoding，071002，Institute of Mathematics and Computers Hebei University，Baoding，071002 |
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| 摘 要： | We investigate the nilpotence of a Malcev algebra M and of its standard enveloping Lie algebra L(M)=M D(M, M). The main result shows that an ideal A of M is nilpotent in M if and only if the corresponding ideal Ⅰ(A) = A D(A, M)is nilpotent in L(M).
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| 关 键 词： | Malcev代数 封裹李代数 幂零性 对应理想 |
On the Nilpotence of Malcev Algebras |
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| ZHANG Zhi-xue,FENG Jian-qiang.On the Nilpotence of Malcev Algebras[J].Northeastern Mathematical Journal,2005,21(1):81-86. |
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| Authors: | ZHANG Zhi-xue FENG Jian-qiang |
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| Institution: | InstituteofMathematicsandComputers,HebeiUniversity,Baoding,071008 |
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| Abstract: | We investigate the nilpotence of a Malcev algebra M and of its standard enveloping Lie algebra L(M) = M(?)D(M, M). The main result shows that an ideal A of M is nilpotent in M if and only if the corresponding ideal I(A) = A(?)D(A, M) is nilpotent in L(M). |
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| Keywords: | Malcev algebra enveloping Lie algebra nilpotence |
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