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   On Permutably Complemented Subalgebras of Finite Dimensional Lie Algebras  
   
نویسنده Goudarzi Leila
منبع Journal Of Algebraic Structures And Their Applications - 2018 - دوره : 5 - شماره : 2 - صفحه:15 -21
چکیده    Let $l$ be a finitedimensional lie algebra. we say a subalgebra $h$ of $l$ is permutably complemented in $l$ if there is a subalgebra $k$ of $l$ such that $l=h+k$ and $hcap k=0$. also, if every subalgebra of $l$ is permutably complemented in $l$, then $l$ is called completely factorisable. in this article, we consider the influence of these concepts on the structure of a lie algebra, in particular, we obtain some characterizations for supersolvability of a finitedimensional lie algebra in terms of permutably complemented subalgebras.
کلیدواژه Lie Algebra ,Permutably Complemented ,Completely Factorisable ,Solvable ,Supersolvable
آدرس University Of Ayatollah Alozma Boroujerdi, Department Of Mathematics, Iran
پست الکترونیکی le.goudarzi@abru.ac.ir
 
     
   
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