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On the Structure of the Set of Zeros of Quaternionic Polynomials

✍ Scribed by Pogorui *, A. ;Shapiro, M.


Book ID
127384103
Publisher
Taylor and Francis Group
Year
2004
Weight
156 KB
Volume
49
Category
Article
ISSN
0278-1077

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πŸ“œ SIMILAR VOLUMES


Zeros of quaternion polynomials
✍ R. SerΓ΄dio; Lok-Shun Siu πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 147 KB

It is well known that, over a division ring, every zero of a polynomial f(x) = (:rxl) β€’.. (x -xn) is congruent to Xr for some r. In this note, we show further that, over the quaternion field, there exists at least one quaternion qr congruent to each x~, and that, through this result, a constructive