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The Frattini p-subsystem of a Solvable Restricted Lie Triple System 被引量:1
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作者 Liang Yun CHEN Dong LIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第10期1887-1898,共12页
As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some ... As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some properties of the Frattini p-subsystem and give the relationship between Фp(T) and Ф(T) for solvable Lie triple systems. 展开更多
关键词 restricted lie triple systems solvable lie triple systems the Frattini p-subsystem the Frattini p-ideal
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