| 3-李-Rinehart代数的导子与交叉模 |
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| 引用本文： | 白瑞蒲,李晓娟.3-李-Rinehart代数的导子与交叉模[J].河北大学学报(自然科学版),2021,41(2):113-118. |
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| 作者姓名： | 白瑞蒲 李晓娟 |
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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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| 基金项目： | 河北省自然科学基金资助项目(20182011126) |
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| 摘 要： | 对给定的特征零域F上的任意一个交换的结合代数A及3-李代数L和3-李A-代数R,研究了 A上的从3-李-Rinehart代数(L,A,ρ)到3-李A-代数(R,A)的导子D及3-李-Rinehart代数的交叉模(R,A,β,?)的结构.利用3-李-Rinehart代数之间的代数同态对3-李-Rinehart代数到3-李...
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| 关 键 词： | 3-李代数 3-李-Rinehart代数 导子 交叉模 |
| 收稿时间： | 2020-04-06 |
Derivations and crossed modules of 3-Lie-Rinehart algebras |
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| BAI Ruipu,LI Xiaojuan.Derivations and crossed modules of 3-Lie-Rinehart algebras[J].Journal of Hebei University (Natural Science Edition),2021,41(2):113-118. |
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| Authors: | BAI Ruipu LI Xiaojuan |
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| Institution: | College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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| Abstract: | For a given commutative associative algebra A, and a 3-Lie algebra L and a 3-Lie A -algebra R over a field F of characteristic zero, derivations from the 3-Lie-Rinehart algebra(L,A,ρ)to the 3-Lie A -algebra(R,A), and crossed modules(R,A,β,?)of 3-Lie-Rinehart algebras are studied. Derivations from 3-Lie-Rinehart algebras to 3-Lie A-algebras are characterized by means of 3-Lie-Rinehart algebra homomorphisms. |
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| Keywords: | 3-Lie algebra 3-Lie-Rinehart algebra derivation crossed module |
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