Idéaux et types sur les corps séparablement clos

Françoise Delon

Mémoires de la Société Mathématique de France (1988)

  • Volume: 33, page 1-76
  • ISSN: 0249-633X

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Delon, Françoise. "Idéaux et types sur les corps séparablement clos." Mémoires de la Société Mathématique de France 33 (1988): 1-76. <http://eudml.org/doc/94872>.

@article{Delon1988,
author = {Delon, Françoise},
journal = {Mémoires de la Société Mathématique de France},
keywords = {dimensional order property; finite cover property; rank of types; seprably closed fields; ideals of polynomial rings in infinitely many variables; generic type; forking; elimination of imaginaries},
language = {fre},
pages = {1-76},
publisher = {Société mathématique de France},
title = {Idéaux et types sur les corps séparablement clos},
url = {http://eudml.org/doc/94872},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Delon, Françoise
TI - Idéaux et types sur les corps séparablement clos
JO - Mémoires de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 33
SP - 1
EP - 76
LA - fre
KW - dimensional order property; finite cover property; rank of types; seprably closed fields; ideals of polynomial rings in infinitely many variables; generic type; forking; elimination of imaginaries
UR - http://eudml.org/doc/94872
ER -

References

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  1. [B] C. Berline, Déviation des types dans les corps algébriquement clos, dans Théories stables 3 (1980-1982), Ed. B. Poizat, Université P. et M. Curie — I. H. P., Paris, 1983. Zbl0512.03016
  2. [Bour] N. Bourbaki, XI, Algèbre chapitre 5, Corps commutatifs, Hermann, Paris, 1959. 
  3. [Bous] E. Bouscaren, Dimensional order property and pairs of models, Ann. of pure and applied Logic, to appear. Zbl0665.03019
  4. [CCShSrW] Z. Chatzidakis, G. CHERLIN, S. Shelah, G. SROUR et C. Wood, Orthogonality of types in separably closed fields, dans Classification Theory (Proceedings of Chicago, 1985), Springer Verlag, LNM 1292, Berlin, 1987. Zbl0645.03029
  5. [vdD] L. van den Dries, Model Theory of Fields, Thèse, Utrecht, 1978. 
  6. [E] J. Eršov, Fields with a solvable theory, English translation, Sov. Math. Dokl. 8 (1967), pp. 575-576. Zbl0153.37201
  7. [K] J. Keisler, Complete theories of algebraically closed fields with distinguished subfields, Michigan Math. J. 11 (1964), pp. 71-81. Zbl0134.00802MR31 #3331
  8. [Lang] S. Lang, Introduction to algebraic Geometry, Interscience Publishers Inc., New York, 1958. Zbl0095.15301MR20 #7021
  9. [Las1] D. Lascar, Ordre de Rudin-Keisler et poids dans les théories stables, Zeitschr. für math. Logik und Grundl. der Math. 28 (1982), pp. 413-430. Zbl0497.03020MR84d:03037
  10. [Las2] D. Lascar, Stabilité en théorie des modèles, Monographies de Mathématique 2, Cabay, Louvain-la-Neuve, 1986. Zbl0655.03021MR88e:03052
  11. [M] K. Mc Kenna, Some diophantine Nullstellensätze, Model Theory of Algebra and Arithmetic, (Proceedings of Karpacz 1979), Springer Verlag, LNM 834, pp. 228-247. Zbl0452.13002MR83i:12023
  12. [P1] B. Poizat, Déviation des types, Doctorat d'état, Paris 6, 1977. 
  13. [P2] B. Poizat, Groupes stables avec types génériques réguliers, J. S. L. 48 (1983), pp. 339-355. Zbl0525.03024MR85e:03082
  14. [P3] B. Poizat, Une théorie de Galois imaginaire, J. S. L. 48 (1983), pp. 1161-1170. Zbl0537.03023MR85e:03083
  15. [P4] B. Poizat, Paires de structures stables, J. S. L. 48, (1983), pp. 239-249. Zbl0525.03023MR84h:03082
  16. [P5] B. Poizat, Cours de théorie des modèles, Nur al-Mantiq wal-Ma'rifah, Villeurbanne, 1985. Zbl0583.03001MR87f:03084
  17. [R] A. Robinson, Solution of a problem of Tarski, Fund. Math., XLVII (1959), pp. 179-204. Zbl0093.01305MR22 #3690
  18. [Sh1] S. Shelah, Stability, the f. c. p., and superstability ..., Ann. Math. Logic 3 (1971), pp. 271-362. Zbl0281.02052
  19. [Sh2] S. Shelah, The lazy model-theoretician's guide to stability, dans Six Days of Model Theory, Ed. P. Henrard, Castella, Albeuve, 1977. Zbl0414.03022
  20. [Sh3] S. Shelah, Classification Theory and the Number of non-isomorphic Models, North Holland, Amsterdam, 1978. Zbl0388.03009
  21. [Sh4] S. Shelah, The Spectrum Problem I : ℵε-saturated models, the Main Gap, Israel J. Math. 43 (1982), pp. 324-336. Zbl0532.03013
  22. [Sr1] G. Srour, The independance relation in separably closed fields, J. S. L. 51 (1986), pp. 715-725. Zbl0633.03029MR87m:03047
  23. [Sr2] G. Srour, Types of rank 1 in the theory of separably closed fields preprint. 
  24. [W] C. Wood, Notes on the stability of separably closed fields, J. S. L. 44 (1979), pp. 412-416. Zbl0424.03014MR81m:03042
  25. [ZS] O. Zariski et P. Samuel, Commutative Algebra I, Van Nostrand Company, Princeton, 1958. Zbl0081.26501MR19,833e

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