辛三代数的Frattini子代数

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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