On the right nucleus of Petit algebrasTools Owen, Adam (2022) On the right nucleus of Petit algebras. PhD thesis, University of Nottingham.
AbstractLet D be division algebra over its center C, let σ be an endormorphism of D, let δ be a left σderivation of D, and let R=D[t; σ, δ] be a skew polynomial ring. We study the structure of a class of nonassociative algebras, denoted by Sf, whose construction canonically generalises that of the associative quotient algebras R/Rf where f ∈ R is rightinvariant.
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