Addendum to “Factoring skew polynomials over Hamilton's quaternion algebra and the complex numbers” [J. Algebra 427 (2015) 20–29]

Let D be the quaternion division algebra over a real closed field F. Then every non-constant polynomial in a skew-polynomial ring D[t;σ,δ] decomposes into a product of linear factors, and thus has a zero in D. This improves [8, Theorem 2].

Bibliographic Details

Published in:	Journal of algebra Vol. 440; pp. 639 - 641
Main Author:	Pumplün, S.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 30.07.2015
Subjects:	Factorization theorem Ore rings Real closed field Roots of polynomials Skew-polynomials secondary Roots of polynomials Skew-polynomials Factorization theorem Real closed field Ore rings primary
ISSN:	0021-8693, 1090-266X
Online Access:	Get full text
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