| Jordan李超代数的分解再论 |
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| 引用本文： | 姜玉秋,谭久河.Jordan李超代数的分解再论[J].数学的实践与认识,2012,42(3):194-198. |
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| 作者姓名： | 姜玉秋 谭久河 |
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| 作者单位： | 1. 吉林师范大学数学学院,吉林四平,136000
2. 吉林师范大学应用工程学院,吉林四平,130000 |
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| 摘 要： | 代数A称为不可分解的,如果A不能分解成理想的直和.满足C(Lo)=C(L)={0}的Jordan李超代数L能够分解成不可分解理想的直和,这种分解在不计理想次序的前提下是唯一的.并证明了完备Jordan李超代数的一些性质.
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| 关 键 词： | Jordan李超代数 完备Jordan李超代数 L的L-自同态 不可分解Jordan李超代数 分解唯一性 |
The Decomposition of Jordan Lie Superalgebras Revisited |
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| JIANG Yu-qiu
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TAN Jiu-he.The Decomposition of Jordan Lie Superalgebras Revisited[J].Mathematics in Practice and Theory,2012,42(3):194-198. |
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| Authors: | JIANG Yu-qiu TAN Jiu-he |
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| Institution: | 1.College of Mathematics,Jilin Normal University,Siping 136000,China) (2.College of Applied Engineering,Jilin Normal University,Siping 136000,China) |
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| Abstract: | An algebra Ais called indecomposable if A can not be decomposed into the direct sum of ideals of A.A Jordan Lie superalgebra L satisfying C(L_o) = C(L) = {0}can be decomposed into direct sum of indecomposable ideals and this decomposition is unique up to the order of the ideals.Moreover,some results of complete Jordan Lie superalgebras have been proved. |
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| Keywords: | Jordan Lie superalgebras complete Jordan Lie superalgebras L-endomorphisms of L indecomposable Jordan Lie superalgebras uniqueness of the decomposition |
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