Title of article :
SOME RESULTS ON NILPOTENT LIE ALGEBRAS
Author/Authors :
Gashti ، S. S. Department of Mathematics - Islamic Azad University, Rasht Branch
From page :
99
To page :
103
Abstract :
Let L be a finite dimensional Lie algebra over an arbitrary field F. In this paper, we prove that the class of finite nilpotent (solvable) Lie algebras is an example of formation. Furthermore, we conclude that every finite Lie algebra has a nilpotent (solvable) residual. Finally we prove some results on Frattini and Fitting subalgebras of the nilpotent Lie algebra L.
Keywords :
Lie algebra , nilpotent , Frattini , Fitting , formation
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
Record number :
2781585
Link To Document :
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