C. Brown

collaborators

3 papers

math.RA2018

Petit Algebras and their Automorphisms

Christian Brown

In this thesis, we study the properties of a nonassociative algebra construction from skew polynomial rings. This construction was introduced by Petit in the 1960s but largely igno…

math.RA2018

How a nonassociative algebra reflects the properties of a skew polynomial

Christian Brown, Susanne Pumpluen

Let $S$ be a unital associative ring and $S [t; σ, δ]$ be a skew polynomial ring, where $σ$ is an injective endomorphism of $S$ and $δ$ a left $σ$ -derivation. For each $f \in S [t; σ, δ]$ …

math.RA2018

Nonassociative cyclic extensions of fields and central simple algebras

Christian Brown, Susanne Pumpluen

We define nonassociative cyclic extensions of degree m of both fields and central simple algebras over fields. If a suitable field contains a primitive mth (resp., qth) root of uni…