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arXiv:2004.05592 [math.LO]AbstractReferencesReviewsResources

Remarks around the non-existence of difference-closure

Zoé Chatzidakis

Published 2020-04-12Version 1

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.

Categories: math.LO
Subjects: 03C50, 03C60, 03C98
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