The Frattini Subsystem of a Lie Supertriple System
Received:June 16, 2008  Revised:January 05, 2009
Key Words: Lie supertriple systems   solvable Lie supertriple systems   the Frattini subsystem   $\phi$-free   complemented.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10701019; 10871057).
Author NameAffiliation
Xian Feng WU Department of Mathematics, Qiqihar University, Heilongjiang 161006, P. R. China 
Liang Yun CHEN Department of Mathematics, Northeast Normal University, Jilin 130024, P. R. China 
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Abstract:
      In the present paper, we develop initially the Frattini theory for Lie supertriple systems, obtain some properties of the Frattini subsystem and show that the intersection of all maximal subsystems of a solvable Lie supertriple system is its ideal. Moreover, we give the relationship between $\phi$-free and complemented for Lie supertriple system.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.03.003
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