Super real closed rings
نویسنده
چکیده
Contents 1. Introduction 2. Real closed rings-a model theoretic tour 3. Computation of the z-radical in C(X) 4. A sentence in the language of rings separating continuous semi-algebraic from arbitrary continuous functions 5. Super real closed rings: Definition and basic properties 6. Υ-ideals 7. Localization of super real closed rings 8. Application: o-minimal structures on super real closed fields 9. Convexity in super real closed rings 10. The extended Gelfand-Kolmogorov Theorem 11. The convex closure of a super real closed ring 12. Real closures over proconstructible subsets of Υ−Spec 13. The complete ring of quotients 14. Entering Varieties of Υ−Spec A
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