| 辛三代数的Frattini子代数 |
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| 引用本文： | 白喜梅,白瑞蒲.辛三代数的Frattini子代数[J].数学杂志,2012,32(4):675-680. |
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| 作者姓名： | 白喜梅 白瑞蒲 |
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| 作者单位： | 河北大学数学与计算机学院,河北保定,071002 |
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| 基金项目： | 河北省自然科学基金，保定市科技攻关项目 |
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| 摘 要： | 本文研究了辛三代数的Frattini子代数和基本辛三代数的问题.利用Frattini子代数和基本辛三代数的性质,得到了辛三代数的非嵌入定理,从而推广了李三系中关于Frattini子系的结果.
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| 关 键 词： | 辛三代数 Frattini子代数 幂零辛三代数 基本辛三代数 |
THE FRATTINI SUBALGEBRA OF SYMPLECTIC TERNARY ALGEBRAS |
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| BAI Xi-mei
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BAI Rui-pu.THE FRATTINI SUBALGEBRA OF SYMPLECTIC TERNARY ALGEBRAS[J].Journal of Mathematics,2012,32(4):675-680. |
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| Authors: | BAI Xi-mei BAI Rui-pu |
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| Institution: | (College of Mathematics & Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | This paper studies the Frattini subalgebra of symplectic ternary algebras and elementary symplectic ternary algebras.By using the properties of the Frattini subalgebra of symplectic ternary algebras and elementary symplectic ternary algebras,the non-imbedding theorem of symplectic ternary algebras is obtained,which generalizes the result of Frattini subsystem of Lie triple systems. |
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| Keywords: | symplectic ternary algebra Frattini subalgebra nilpotent symplectic ternary algebra elementary symplectic ternary algebra |
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