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arxiv: 1310.1858 · v4 · pith:FFHCXC5Fnew · submitted 2013-10-07 · 🧮 math.RA

Quaternion quadratic equations in characteristic 2

classification 🧮 math.RA
keywords quaternioncharacteristicequationquadraticsomealgebraassumingbelong
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In this paper we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form $z^2+\mu z+\nu=0$ where $\mu$ and $\nu$ belong to some quaternion division algebra $Q$ over some field $F$, assuming the characteristic of $F$ is $2$.

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