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math.RA2019
Division algebras that generalize Dickson semifields
Daniel Thompson
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus…
math.RA2019★ 1 cited
A generalisation of Dickson's commutative division algebras
Daniel Thompson
Dickson's commutative semifields are an important class of finite division algebras. We generalise Dickson's construction of commutative division algebras by doubling both finite f…