Abstract
AbstractThe stability of each of the theories of separably closed fields is proved, in the manner of Shelah's proof of the corresponding result for differentially closed fields. These are at present the only known stable but not superstable theories of fields. We indicate in §3 how each of the theories of separably closed fields can be associated with a model complete theory in the language of differential algebra. We assume familiarity with some basic facts about model completeness [4], stability [7], separably closed fields [2] or [3], and (for §3 only) differential fields [8].
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. The model theory of differential fields of characteristic p ≠ 0;Wood;Proceedings of the American Mathematical Society,1973
2. The lazy model-theoretician's guide to stability;Shelah;Logique et Analyse,1975
3. Lectures in Abstract Algebra
Cited by
36 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Characterizing NIP henselian fields;Journal of the London Mathematical Society;2024-03
2. The étale-open topology and the stable fields conjecture;Journal of the European Mathematical Society;2023-06-14
3. A CLASS OF FIELDS WITH A RESTRICTED MODEL COMPLETENESS PROPERTY;The Journal of Symbolic Logic;2021-03-26
4. Model theory of fields with free operators in positive characteristic;Transactions of the American Mathematical Society;2019-07-30
5. MODEL THEORY AND MACHINE LEARNING;The Bulletin of Symbolic Logic;2019-02-15