| 关于局部有限的DI—Lie代数的结构 |
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| 引用本文： | 谢开端. 关于局部有限的DI—Lie代数的结构[J]. 湖南师范大学自然科学学报, 1990, 13(1): 1-4 |
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| 作者姓名： | 谢开端 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： |
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| 关 键 词： | 李代数 子代数 理想 DI－李代数 |
ON THE STRUCTURE OF LOCALLY FINITE DI-LIE ALGEBRA |
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| Xie Kaiduan Departmant of Mathematics. ON THE STRUCTURE OF LOCALLY FINITE DI-LIE ALGEBRA[J]. Journal of Natural Science of Hunan Normal University, 1990, 13(1): 1-4 |
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| Authors: | Xie Kaiduan Departmant of Mathematics |
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| Affiliation: | Xie Kaiduan Departmant of Mathematics |
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| Abstract: | An Lie algebra L over a field F is called Lie algebra with dense ideals,in short,DI-Lie algebra.If for any chain of subalgebra of L,ABC(where AB meansthat AB, but BC),there exists an ideal I of L such that AIC.In otherwords,in the lattice of subalgebras of L every open interval contains at least one idealof L.In this paper the structure theoremes of locally finite DI-Lie algebra arestated and proved. |
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| Keywords: | Lie algebra subalgebra ideal(mathematics) localization/DILie algebra |
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