منابع مشابه
On permutably complemented subalgebras of finite dimensional Lie algebras
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 $Hcap K=0$. 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 partic...
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This chapter is centered around Wedderburn’s structure theory which under rather mild and inevitable restrictions describes the form of a finite dimensional algebra. In some sense it reduces the problem of understanding finite dimensional algebras to the problem of understanding finite dimensional division algebras. The latter can be difficult, but at least for division algebras over some field...
متن کاملStructure of Finite Dimensional Algebras
This chapter is centered around Wedderburn’s structure theory which under rather mild and inevitable restrictions describes the form of a finite dimensional algebra. In some sense it reduces the problem of understanding finite dimensional algebras to the problem of understanding finite dimensional division algebras. The latter can be difficult, but at least for division algebras over some field...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.09.011