Ad Owen

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20192022

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3 papers · 1 filter

math.RA2022

On the Right Nucleus of Petit Algebras

Adam Owen

Let $D$ be division algebra over its center $C$ , let $σ$ be an endormorphism of $D$ , let $δ$ be a left $σ$ -derivation of $D$ , and let $R = D [t; σ, δ]$ be a skew polynomial ring. We stu…

math.RA2021

A generalisation of Amitsur's A-polynomials

Adam Owen, Susanne Pumpluen

We find examples of polynomials $f \in D [t; σ, δ]$ whose eigenring $E (f)$ is a central simple algebra over the field $F = C \cap Fix (σ) \cap Const (δ)$ .

math.RA2019

The eigenspaces of twisted polynomials over cyclic field extensions

Adam Owen, Susanne Pumpluen

Let $K$ be a field and $σ$ an automorphism of $K$ of order $n$ .Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial $f \in K [t; σ]$ . We mainly tre…