23 citations · 112 across the 27 of their papers we have counts for
28 papers
A skew polynomial framework for constructing division algebras and linear maximum rank distance codes
Susanne Pumpluen
We construct division algebras and linear maximum rank distance (MRD) matrix codes using skew polynomials over fields. The non-unital division algebras we obtain generalize several…
A parametrization of nonassociative cyclic algebras of prime degree
Monica Nevins, Susanne Pumpluen
We determine and explicitly parametrize the isomorphism classes of nonassociative quaternion algebras over a field of characteristic different from two, as well as the isomorphism…
A generalization of the first Tits construction
Thomas Moran, Susanne Pumpluen
Let be a field of characteristic not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebr…
The automorphisms of differential extensions of characteristic
Susanne Pumpluen
Nonassociative differential extensions are generalizations of associative differential extensions, either of a purely inseparable field extension of exponent one of a field …
Nonassociative cyclic algebras and the semiassociative Brauer monoid
S Pumpluen
We look at classes of semiassociative algebras, with an emphasis on those that canonically generalize associative (generalized) cyclic algebras, and at their behaviour in the semia…
Division algebras and MRD codes from skew polynomials
Daniel Thompson, Susanne Pumpluen
Let be a division algebra, finite-dimensional over its center, and a skew polynomial ring. Using skew polynomials , we construct division algebras and a ge…