辛三代数的Frattini子代数

倪军娜. 辛三代数的Frattini子代数[J]. 华南师范大学学报（自然科学版）, 2010, 1(2).

引用本文:

倪军娜. 辛三代数的Frattini子代数[J]. 华南师范大学学报（自然科学版）, 2010, 1(2).

The Frattini subalgebras of symplectic ternary aglebras[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(2).

Citation:

The Frattini subalgebras of symplectic ternary aglebras[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(2).

The Frattini subalgebras of symplectic ternary aglebras

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.

Abstract: 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.

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