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on sets of zeros of clifford-algebra-valued polynomials
Yang Yan; Qian Tao
2010-05
Source PublicationActa Mathematica Scientia
ISSN0252-9602
Volume30Issue:3Pages:1004-1012
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.

KeywordClifford Algebra Zeroes Of Polynomials
DOI10.1016/S0252-9602(10)60097-5
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000278171600031
Scopus ID2-s2.0-77955541801
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Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorYang Yan; Qian Tao
AffiliationSchool of Mathematics and Computational Science, Sun Yat-Sen University and Department of Mathematics, Faculty of Science and Technology, University of Macau
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Yang Yan,Qian Tao. on sets of zeros of clifford-algebra-valued polynomials[J]. Acta Mathematica Scientia, 2010, 30(3), 1004-1012.
APA Yang Yan., & Qian Tao (2010). on sets of zeros of clifford-algebra-valued polynomials. Acta Mathematica Scientia, 30(3), 1004-1012.
MLA Yang Yan,et al."on sets of zeros of clifford-algebra-valued polynomials".Acta Mathematica Scientia 30.3(2010):1004-1012.
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