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| Some Subsystems of a Lie Triple System Closely Related to Its Frattini Subsystem |
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Citation： |
Liangyun CHEN,Dong LIU,Xiaoning XU.Some Subsystems of a Lie Triple System Closely Related to Its Frattini Subsystem[J].Chinese Annals of Mathematics B,2013,34(5):791~800 |
| Page view： 1783
Net amount： 1297 |
Authors： |
Liangyun CHEN; Dong LIU; Xiaoning XU; |
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| Abstract： |
The main purpose of the present paper is to give some properties of the Jacobson radical, the Frattini subsystem and c-ideals of a Lie triple system. Some further results concerning the Frattini subsystems of nilpotent and solvable Lie triple systems are obtained.
Moreover, we develop initially c-ideals for a Lie triple system and make use of them to give some characterizations of a solvable Lie triple system. |
Keywords： |
Frattini subsystem, Jacobson radical, c-ideals, Solvable, Nilpotent |
Classification： |
17B05, 17B30 |
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