Journal of Symbolic Logic

Elementary properties of the Boolean hull and reduced quotient functors

M. A. Dickmann and F. Miraglia

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Article information

J. Symbolic Logic, Volume 68, Issue 3 (2003), 946- 971.

First available in Project Euclid: 17 July 2003

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Dickmann, M. A.; Miraglia, F. Elementary properties of the Boolean hull and reduced quotient functors. J. Symbolic Logic 68 (2003), no. 3, 946-- 971. doi:10.2178/jsl/1058448449.

Export citation


  • C. Andradas, L. Bröcker, and J. M. Ruiz Constructible sets in real geometry, Springer-Verlag, Berlin,1996.
  • V. Astier Some model-theoretic results in the algebraic theory of quadratic forms, Annals of Pure and Applied Logic, vol. 112 (2001), pp. 189--223.
  • E. Becker Hereditarily-Pythagorean fields and orderings of higher level, IMPA Lecture Notes, vol. 29, Rio de Janeiro,1978.
  • J. L. Bell and A. B. Slomson Models and ultraproducts: An introduction, North-Holland Publishing Co.,1969.
  • J. Bochnak, M. Coste, and M.-F. Roy Géométrie algébrique réelle, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 12, Springer-Verlag, Berlin,1980.
  • C. C. Chang and H. J. Kiesler Model theory, North-Holland Publishing Co.,1991.
  • T. Craven The Boolean space of orderings of a field, Transactions of the American Mathematical Society, vol. 209 (1975), pp. 225--235.
  • M. Dickmann Larger infinitary languages, Chapter IX in Model theoretic logics (J. Barwise and S. Feferman, editors), Perspectives in Mathematical Logic, Springer-Verlag, Berlin,1985.
  • M. Dickmann and F. Miraglia Elementary properties of the Boolean hull functor, Séminaire de Structures Algébriques Ordonnées (2000--2001), Paris 7 -- CNRS, Logique, Prépublications 73, 2002.
  • S. Feferman Infinitary properties, local functors and systems of ordinal functions, Lecture Notes in Mathematics, vol. 255, Springer-Verlag,1972, pp. 63--97.
  • S. Feferman and R. L. Vaught The first order properties of products of algebraic systems, Fundamenta Mathematicae, vol. 47 (1959), pp. 57--103.
  • D. Haran and M. Jarden The absolute Galois group of a pseudo real closed field, Annali della Scuola Normale Superiore di Pisa, vol. 22 (1985), pp. 449--489.
  • S. Koppelberg Handbook of Boolean algebras (J. Donald Monk and R. Bonnet, editors), vol. 1, North-Holland Publishing Co., Amsterdam,1989.
  • T. Y. Lam The algebraic theory of quadratic forms, W. A. Benjamin,1973.
  • M. Marshall Spaces of orderings and abstract real spectra, Lecture Notes in Mathematics, vol. 1636, Springer-Verlag, Berlin,1996.
  • A. Prestel Lectures on formally real fields, Lecture Notes in Mathematics, vol. 1093,1984.