Submission date: 19 August 2020

Abstract:

We introduce the notion of a coordinate k-algebra scheme and the corresponding notion of a B-operator. This class of operators includes endomorphisms and derivations of the Frobenius map, and it also generalizes the operators related to D-rings from [15]. We classify the (coordinate) k-algebra schemes for a perfect field k and we also discuss the model-theoretic properties of fields with B-operators.

Mathematics Subject Classification: Primary 03C60, Secondary 12H05, 03C45, 14L15

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Full text arXiv 2008.08443: pdf, ps.