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.
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.
出处
《数学杂志》
CSCD
北大核心
2012年第4期675-680,共6页
Journal of Mathematics
基金
河北省自然科学基金资助(A2010000194)
保定市科技攻关项目(10ZG009)
关键词
辛三代数
FRATTINI子代数
幂零辛三代数
基本辛三代数
symplectic ternary algebra
Frattini subalgebra
nilpotent symplectic ternary algebra
elementary symplectic ternary algebra
