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].

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Podrobná bibliografia
Vydané v:	Journal of algebra Ročník 440; s. 639 - 641
Hlavný autor:	Pumplün, S.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 30.07.2015
Predmet:	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
On-line prístup:	Získať plný text
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Popis
Shrnutí:	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].
Bibliografia:	addendum
ISSN:	0021-8693 1090-266X
DOI:	10.1016/j.jalgebra.2015.06.014