On permutably complemented subalgebras of finite dimensional Lie algebras
عنوان مقاله: On permutably complemented subalgebras of finite dimensional Lie algebras
شناسه ملی مقاله: JR_ASYAZDT-5-2_002
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_ASYAZDT-5-2_002
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
Leila Goudarzi - Department of mathematics, University of Ayatollah Alozma Boroujerdi, Boroujerd, Iran
خلاصه مقاله:
Leila Goudarzi - Department of mathematics, University of Ayatollah Alozma Boroujerdi, Boroujerd, Iran
Let L be a finite-dimensional 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 H\cap K=۰. 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 finite-dimensional Lie algebra in terms of permutably complemented subalgebras.
کلمات کلیدی: Lie algebra, permutably complemented, completely factorisable, solvable, supersolvable
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579949/