Submission date: 1 June 2018

Abstract:

We give algebraic conditions about a finite algebra B over a perfect field of positive characteristic, which are equivalent to the companionability of the theory of fields with “B-operators” (i.e. the operators coming from homomorphisms into tensor products with B). We show that, in the most interesting case of a local B, these model companions are strictly stable, and we also describe the forking relation there.

Mathematics Subject Classification: 03C60 (Primary), 12H05, 03C45 (Secondary)

Keywords and phrases:

Full text arXiv 1806.00464: pdf, ps.