Model theory of fields with free operators in characteristic zero

Rahim Moosa; Thomas Scanlon

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arXiv · 1212.5838

Model theory of fields with free operators in characteristic zero

Rahim Moosa·Thomas Scanlon

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Abstract

Generalising and unifying the known theorems for difference and differential fields, it is shown that for every finite free ${\mathbb S}$-algebra ${\mathcal D}$ over a field $A$ of characteristic zero the theory of ${\mathcal D}$-fields has a model companion ${\mathcal D}$-CF$_0$ which is simple and satisfies the Zilber dichotomy for finite-dimensional minimal types.

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BibTeX RIS

Rahim Moosa, Thomas Scanlon. 2013-08-28. Model theory of fields with free operators in characteristic zero. https://arxiv.org/abs/1212.5838

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