Remarks around the non-existence of difference-closure
Logic
2023-11-08 v2
Abstract
This paper shows that in general, difference fields do not have a difference closure. However, we introduce a stronger notion of closure (kappa-closure), and show that every algebraically closed difference field K of characteristic 0, with fixed field satisfying a certain natural condition, has a closure, and this closure is unique up to isomorphism over K.
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Cite
@article{arxiv.2004.05592,
title = {Remarks around the non-existence of difference-closure},
author = {Zoé Chatzidakis},
journal= {arXiv preprint arXiv:2004.05592},
year = {2023}
}
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