The eigenspaces of twisted polynomials over cyclic field extensions

Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ]. We mainly treat the case that K/F is a cyclic field extension of degree n with Galois group generated by σ.We obtain lower bounds on the dimen...

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Bibliographic Details
Main Authors: Owen Adam, Pumplün Susanne
Format: Article
Language:English
Published: Sciendo 2023-01-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2023-0012