Abstract
Let K be a field, and δ a derivation of K. The right zeros of skew polynomials in the formal differential operator ring K[T,δ], with commutation law Tα - αT = δ(α) for any α ∊ K, are logarithmic derivatives of solutions of linear differential equations in some differential extension of K. For K the Puiseux series field over an algebraically closed field of characteristic zero, and δ the classical derivation, we prove that any polynomial of degree > 1 in K[T,δ] splits, without unicity, into factors of degree one.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
