|
|
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
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|