辛三代数的Frattini子代数  

THE FRATTINI SUBALGEBRAS OF SYMPLECTIC TERNARY ALGEBRAS

作　　者：倪军娜[1] 于建华[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2010年第2期1-3,17,共4页Journal of South China Normal University(Natural Science Edition)

摘　　要：讨论了辛三代数的Frattini子代数和Frattini理想的性质,得到了Frattini理想是辛三代数的幂零理想和可解balanced辛三代数的Frattini子代数等于Frattini理想的结论.The Frattini subalgebras and Frattini ideals of symplectic ternary algebras are studied.It is gotten that Frattini ideal of a symplectic ternary algebra is a nilpotent ideal,and the Frattini subalgebra is equal to the Frattini ideal for a solvable balanced symplectic ternary algebra.

关 键 词：辛三代数 FRATTINI子代数 Frattini理想 

分 类 号：O151.26[理学—数学]