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On the Structure of the Set of Zeros of Quaternionic Polynomials
Abstract:We prove that any quaternionic polynomial (with the coefficients on the same side) has two types of zeroes: the zeroes are either isolated or spherical ones, i.e., those ones which form a whole sphere. What is more, the total quantity of the isolated zeroes and of the double number of the spheres does not outnumber the degree of the polynomial.
Keywords:Quaternionic polynomials  Fundamental theorem of algebra  Subject Classifications: Primary: 12E05  11R52  Secondary: 12E12  30G35
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