c可补李超三系和E李超三系

J4 ›› 2012, Vol. 50 ›› Issue (4): 681-685.

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cSupplemented Lie Supertriple Systems and ELie Supertriple Systems

SONG Hua¹, ZHOU Jia², CHEN Liang-yun³

1. Department of Economic and Trade, Jilin Business and Technology College, Changchun 130062, China;
2. School of Information Technology, Jilin Agricultural University, Changchun 130118, China;
3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2011-11-10 Online:2012-07-01 Published:2012-09-07
Contact: CHEN Liang-yun E-mail:chenly640@nenu.edu.cn

Abstract

Abstract:

We developed csupplemented subalgebras and Ealgebras for Lie supertriple systems, obtained some properties of Lie supertriple systems and gave a necessary conditions for solvable Lie superalgebras. Moreover, we obtained a necessary and sufficient condition for ELie supertriple systems and csupplemented Lie supertriple systems, respectively.

Key words: Lie supertriple systems, csupplemented Lie supertriple systems, ELie supertriple systems, Frattini subsystems

CLC Number:

O152.5

SONG Hua, ZHOU Jia, CHEN Liang-yun. cSupplemented Lie Supertriple Systems and ELie Supertriple Systems[J].J4, 2012, 50(4): 681-685.

cSupplemented Lie Supertriple Systems and ELie Supertriple Systems

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