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ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS
Authors:Yang Yan  Qian Tao
Institution:School of Mathematics and Computational Science, Sun Yat-Sen University and Department of Mathematics, Faculty of Science and Technology, University of Macau
Abstract: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.
Keywords:Clifford algebra  zeroes of polynomials
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