论文标题
关于内森·雅各布森的问题
On a problem by Nathan Jacobson
论文作者
论文摘要
我们证明了包含2 x 2矩阵代数的Unital替代代数的协调定理，具有相同的身份元素1。这解决了Nathan Jacobson在含有全身性Quaternion代数Hgebra H具有相同情况的替代代数的描述中宣布的一个旧问题。特别是，当基本字段是有限或代数关闭的情况下，情况就是这种情况。
We prove a coordinatization theorem for unital alternative algebras containing 2 x 2 matrix algebra with the same identity element 1. This solves an old problem announced by Nathan Jacobson on the description of alternative algebras containing a generalized quaternion algebra H with the same 1, for the case when the algebra H is split. In particular, this is the case when the basic field is finite or algebraically closed.
