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Preprint Number 1440

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1440. Özlem Beyarslan, Daniel Max Hoffmann, Moshe Kamensky, Piotr Kowalski
Model theory of fields with free operators in positive characteristic

Submission date: 1 June 2018


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)

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Full text arXiv 1806.00464: pdf, ps.

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