We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The eigenspaces of twisted polynomials over cyclic field extensions.
- Authors
Owen, Adam; Pumplün, Susanne
- Abstract
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 dimension of the eigenspace, and compute it in special cases as a quotient algebra. Conditions under which a monic polynomial f ∈ F[t] ⊂ K[t; σ] is reducible are obtained in special cases.
- Subjects
POLYNOMIALS; NONASSOCIATIVE algebras; POLYNOMIAL rings; ALGEBRA
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023, Vol 31, Issue 1, p221
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2023-0012