On generalized series fields and exponential-logarithmic series fields with derivations

Abstract

We survey some important properties of fields of generalized series and of exponential-logarithmic series, with particular emphasis on their possible differential structure, based on a joint work of the author with S. Kuhlmann [KM12b,KM11].

23 pages, 1 figure

References in corpus (2)

• Hardy type derivations on fields of exponential logarithmic series
• Comparison of Exponential-Logarithmic and Logarithmic-Exponential series

Cited by in corpus (2)

• Differential-henselianity and maximality of asymptotic valued differential fields
• A Note on complex $p$-adic exponential fields