10 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
How a nonassociative algebra reflects the properties of a skew polynomial
Christian Brown, Susanne Pumpluen
Let be a unital associative ring and be a skew polynomial ring, where is an injective endomorphism of and a left -derivation. For each …
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…
Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
Christian Brown, Susanne Pumpluen, Andrew Steele
We study the automorphisms of Jha-Johnson semifields obtained from an invariant irreducible twisted polynomial , where is a finite field and a…
Solvable crossed product algebras revisited
Christian Brown, Susanne Pumpluen
For any central simple algebra over a field F which contains a maximal subfield M with non-trivial F-automorphism group G, G is solvable if and only if the algebra contains a finit…