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Preprint Number 2041

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2041. Martin Hils and Rosario Mennuni
The domination monoid in henselian valued fields

Submission date: 31 August 2021


We study the domination monoid in various classes of structures arising from the model theory of henselian valuations, including RV-expansions of henselian valued fields of residue characteristic 0 (and, more generally, of benign valued fields), p-adically closed fields, monotone D-henselian differential valued fields with many constants, regular ordered abelian groups, and pure short exact sequences of abelian structures. We obtain Ax-Kochen-Ershov type reductions to suitable fully embedded families of sorts in quite general settings, and full computations in concrete ones.

Mathematics Subject Classification: 03C45 (Primary) 03C60, 03C64, 12J10, 12L12 (Secondary)

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Full text arXiv 2108.13999: pdf, ps.

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