Submission date: 30 September 2015.

Abstract:

We propose a modification of the theory given by Messmer and Wood corresponding to the theory of separably closed fields. Our axioms involve Hasse-Schmidt derivations with the iterativity conditions corresponding to the Witt group.

Mathematics Subject Classification: Primary 13N15; Secondary 14L15, 20G15

Keywords and phrases: Hasse-Schmidt derivations, separably closed fields, algebraic groups

Full text arXiv 1510.00218: pdf, ps.