论文标题
关于代数的多项式方程的注释
A note on polynomial equations over algebras
论文作者
论文摘要
我们为多项式方程式系统提供了足够的条件，而多项式方程的代数（实际或复杂）具有解决方案。这将已知的结果概括为四元，八元和基质代数。我们还概括了代数的基本定理，用于四季度的四元素，并以两个单一形式为单一形式的多项式，同时表明它失败了三个。
We provide sufficient conditions for systems of polynomial equations over general (real or complex) algebras to have a solution. This generalizes known results on quaternions, octonions and matrix algebras. We also generalize the fundamental theorem of algebra for quaternions to polynomials with two monomials in the leading form, while showing that it fails for three.
