| 半结合3-李代数的结构 |
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| 引用本文： | 白瑞蒲,张艳. 半结合3-李代数的结构[J]. 吉林大学学报(理学版), 2020, 58(6): 1293-1298. DOI: 10.13413/j.cnki.jdxblxb.2020109 |
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| 作者姓名： | 白瑞蒲 张艳 |
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| 作者单位： | 河北大学 数学与信息科学学院, 河北 保定 071002 |
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| 摘 要： | 考虑一类不满足完全交错性与完全结合性的3-元代数—半结合3-代数,研究其导子结构和型心结构, 并证明维数≤6的半结合3-代数A的导代数A1含于中心Z(A).
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| 关 键 词： | 半结合3-代数 3-李代数 导子 型心 |
Structure of Semi-associative 3-Lie Algebras |
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| BAI Ruipu,ZHANG Yan. Structure of Semi-associative 3-Lie Algebras[J]. Journal of Jilin University: Sci Ed, 2020, 58(6): 1293-1298. DOI: 10.13413/j.cnki.jdxblxb.2020109 |
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| Authors: | BAI Ruipu ZHANG Yan |
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| Affiliation: | College of Mathematics and Information Science, Hebei University, Baoding 071002, Hebei Province, China |
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| Abstract: | We considered a class of 3-ary algebra: the semi-associative 3-algebra, which did not satisfy completely skew-symmetric and associative law, studied the derivation structure and centroid structure of semi-associative 3-algebras, and proved that for any m-dimensional semi-associative 3-algebra A with dim A≤6, the derived algebra A1 was contained in the center Z(A). |
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| Keywords: | semi-associative 3-algebra 3-Lie algebra derivation centroid |
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