• Corpus ID: 252531354

Factorization of skew polynomials over k((u))

@inproceedings{Borgne2022FactorizationOS,
  title={Factorization of skew polynomials over k((u))},
  author={J{\'e}r{\'e}my Le Borgne},
  year={2022}
}

• Jérémy Le Borgne
• Published 26 September 2022
• Mathematics

Let k be a perfect field of characteristic p > 0 , and let K = k (( u )) be the field of Laurent series over K . We study the skew polynomial ring K [ T, φ ] , where φ is an endomorphism of K that extends a Frobenius endomorphism of k . We give a description of the irreducible skew polynomials, develop an analogue of the theory of the Newton polygon in this context, and classify the similarity classes of irreducible elements.