论文标题
关于局部基质代数的谎言结构
On the Lie structure of locally matrix algebras
论文作者
论文摘要
让$ a $作为特征的字段$ \ mathbb {f} $与$ 2的特征不同的字段中的本地矩阵代数。该条件仅取决于$ a $的Steinitz数量。
Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations $\text{Der}(A)$ to be topologically simple. The condition depends on the Steinitz number of $A$ only.
