Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ)-codes

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Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ)-codes

Let S be a unital ring, S[t; σ, δ] a skew polynomial ring where σ is an injective endomorphism and δ a left σ -derivation, and suppose f ε S[t; σ, δ] has degree m and an invertible leading coefficient. Using right division by f to define the multiplication, we obtain unital nonassociative algebras...

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Bibliographic Details
Main Author:	Pumpluen, Susanne
Format:	Article
Published:	American Institute of Mathematical Sciences 2017
Subjects:	Skew Polynomial Ring Ore Polynomials Nonassociative Algebra Commutative Finite Chain Ring Generalized Galois Rings Linear Codes (f σ δ)-codes Skew-constacyclic Codes
Online Access:	https://eprints.nottingham.ac.uk/38812/

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