Abstract
In this paper, I consider real fields K which are henselian with respect to a valuation v, with value group v K and residue field/~ = K/v. I determine the necessary and sufficient conditions for K to be a Rolle field, respectively a Rolle field with finitely many orderings, in terms of properties of v K and K/v. These results are applied to fields of generalized power series and are used to provide many examples of Rolte fields. Previously, Delon [3] and Benhissi [1] have considered Rolle fields of Hahn type power series. I wish to thank Franz-Viktor Kuhlmann and Florian Pop of Heidelberg for useful suggestions for this paper. 1. To begin, I recall known facts about valuation theory, Rolle fields and generalized
Sign-in/Register to access full text options 
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.
