ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS  

作　　者：杨燕 钱涛 

机构地区：[1]School of Mathematics and Computational Science, Sun Yat-Sen University [2]Department of Mathematics, Faculty of Science and Technology, University of Macao

出　　处：《Acta Mathematica Scientia》2010年第3期1004-1012,共9页数学物理学报（B辑英文版）

基　　金：sponsored by the National Natural ScienceFunds for Young Scholars (10901166);the Scientific Research Foundation for the Youth Scholars of Sun Yat-SenUniversity;the Research Grant of University of Macao on Applications of Hyper-Complex Analysis (cativo:7560)

摘　　要：In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes： the real isolated zeroes and the spherical conjugate ones. The total number of zeroes does not exceed the degree of the polynomial. We also present a technique for computing the zeroes.In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes： the real isolated zeroes and the spherical conjugate ones. The total number of zeroes does not exceed the degree of the polynomial. We also present a technique for computing the zeroes.

关 键 词：Clifford algebra zeroes of polynomials 

分 类 号：O174.14[理学—数学]