Skip to main content

Research Repository

Advanced Search

All Outputs (3)

Quotients of orders in algebras obtained from skew polynomials with applications to coding theory (2018)
Journal Article
Pumpluen, S. (2018). Quotients of orders in algebras obtained from skew polynomials with applications to coding theory. Communications in Algebra, 46(11), 5053-5072. https://doi.org/10.1080/00927872.2018.1461882

We describe families of nonassociative finite unital rings that occur as quotients of natural nonassociative orders in generalized nonassociative cyclic division algebras over number fields. These natural orders have already been used to systematical... Read More about Quotients of orders in algebras obtained from skew polynomials with applications to coding theory.

Nonassociative cyclic extensions of fields and central simple algebras (2018)
Journal Article
Brown, C., & Pumpluen, S. (2019). Nonassociative cyclic extensions of fields and central simple algebras. Journal of Pure and Applied Algebra, 223(6), 2401-2412. https://doi.org/10.1016/j.jpaa.2018.08.018

We define nonassociative cyclic extensions of degree m of both fields andcentral simple algebras over fields. If a suitable field contains a primitive mth (resp., qth) root of unity, we show that suitable nonassociative generalized cyclic division al... Read More about Nonassociative cyclic extensions of fields and central simple algebras.

Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings (2018)
Journal Article
Brown, C., Pumpluen, S., & Steele, A. (2018). Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Communications in Algebra, 46(10), 4561-4576. https://doi.org/10.1080/00927872.2018.1448845

We study the automorphisms of Jha-Johnson semifields obtained from a right invariant irreducible twisted polynomial f Є K[t;σ], where K = Fqn is a finite field and σ an automorphism of K of order n, with a particular emphasis on inner automorphisms a... Read More about Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings.