In this paper we study basic division properties in the ring of regular quaternionic polynomials. We obtain a Bezout-like theorem and we calculate the module syzygy for any vector of polynomials.
Computations in the ring of quaternionic polynomials / Damiano, Alberto; Gentili, Graziano; Struppa, Daniele C.. - In: JOURNAL OF SYMBOLIC COMPUTATION. - ISSN 0747-7171. - STAMPA. - 45:(2010), pp. 38-45. [10.1016/j.jsc.2009.06.003]
Computations in the ring of quaternionic polynomials
GENTILI, GRAZIANO;
2010
Abstract
In this paper we study basic division properties in the ring of regular quaternionic polynomials. We obtain a Bezout-like theorem and we calculate the module syzygy for any vector of polynomials.
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