四元数体上两类多项式的零点  

Zeros of Polynomials with Coefficients in the Quaterion Field

作　　者：王珏[1] 杨尚骏[2] 

机构地区：[1]解放军电子工程学院,合肥230007 [2]安徽大学,合肥230039

出　　处：《工科数学》2000年第3期69-73,共5页Journal of Mathematics For Technology

摘　　要：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.

关 键 词：四元数体 代数同构 多项式 重点 二次多项式 

分 类 号：O151.2[理学—数学] O174.14[理学—基础数学]