论文标题
部分可观测时空混沌系统的无模型预测
Splitting of differential quaternion algebras
论文作者
论文摘要
我们研究具有推导的四元组代数的差分裂片。 $ k $上的四元代数总是由$ k $的二次扩展分开。但是，不必在$ k $的任何代数扩展上分配差异四基因代数。我们使用某些Riccati方程的溶液来提供差分四元素代数的分裂场的超越程度的界限。
We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$. However, a differential quaternion algebra need not be split over any algebraic extension of $k$. We use solutions of certain Riccati equations to provide bounds on the transcendence degree of splitting fields of a differential quaternion algebra.
