Submission date: 20 July 2024

Abstract:

We investigate the existence of ÷generic derivationsø in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and exponentiation cannot support a generic derivation.

Mathematics Subject Classification: 03C60, 03C10 (Primary) 12H05, 12L12 (Secondary)

Keywords and phrases:

Full text arXiv 2407.14840: pdf, ps.