四元数体上两类多项式的零点

Zeros of Polynomials with Coefficients in the Quaterion Field

本文研究四元数体 Q上多项式的零点 ,特别对于其中两类多项式——系数两两可换的多项式和二次多项式建立了系统而完善的零点理论 .

In this paper, we study the zero theory for polynomials with coefficients from the quaterion field Q , particularly for the two classes of polynomials——the polynomials with coefficients any two of which are commutative and the polynomials of degree two. Our results establish a complete zero theory for these two classes of polynomials.