Model theory of fields with free operators in positive characteristic

Özlem Beyarslan; Daniel Max Hoffmann; Moshe Kamensky; Piotr Kowalski

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arXiv · 1806.00464

Model theory of fields with free operators in positive characteristic

Özlem Beyarslan·Daniel Max Hoffmann·Moshe Kamensky·Piotr Kowalski

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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 admit quantifier elimination in the "smallest possible" language and they are strictly stable. We also describe the forking relation there.

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BibTeX RIS

Özlem Beyarslan, Daniel Max Hoffmann, Moshe Kamensky, Piotr Kowalski. 2018-06-01. Model theory of fields with free operators in positive characteristic. https://arxiv.org/abs/1806.00464

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