Corps équivalents à leur corps de séries

Françoise Delon

Mémoires de la Société Mathématique de France (1984)

  • Volume: 16, page 95-103
  • ISSN: 0249-633X

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Delon, Françoise. "Corps équivalents à leur corps de séries." Mémoires de la Société Mathématique de France 16 (1984): 95-103. <http://eudml.org/doc/94854>.

@article{Delon1984,
author = {Delon, Françoise},
journal = {Mémoires de la Société Mathématique de France},
keywords = {valued fields; formal Laurent series; ordered abelian group; existentially closed; elementarily equivalent},
language = {fre},
pages = {95-103},
publisher = {Société mathématique de France},
title = {Corps équivalents à leur corps de séries},
url = {http://eudml.org/doc/94854},
volume = {16},
year = {1984},
}

TY - JOUR
AU - Delon, Françoise
TI - Corps équivalents à leur corps de séries
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 16
SP - 95
EP - 103
LA - fre
KW - valued fields; formal Laurent series; ordered abelian group; existentially closed; elementarily equivalent
UR - http://eudml.org/doc/94854
ER -

References

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  1. [A] J. Ax, On the undecidability of power series fields, Proc. AMS 162 (1965), p. 846. Zbl0199.03003MR31 #2148
  2. [AK] J. Ax et S. Kochen, Diophantine problems over local fields III, Ann. of Math. 83 (1966), pp. 437-456. Zbl0223.02050MR34 #1262
  3. [C] G. Cherlin, Model Theoretic Algebra-Selected Topics, Springer Verlag, Berlin-Heidelberg-New York 1976, LNM n° 521. Zbl0332.02056MR58 #27455
  4. [CDM] G. Cherlin, L. van den Dries et A. Mac Intyre, The Elementary Theory of Regularly Closed Fields, à paraître. 
  5. [D] F. Delon, Périodicité des théories élémentaires des corps de séries formelles itérées, à paraître. Zbl0628.03019
  6. [E] J. L. Eršov, On the elementary theory of maximal normed fields, English translation, Soviet Math. Dokl. 62 (1965), pp. 1390-1393. Zbl0152.02403
  7. [F] L. Fuchs, Partially ordered systems, Pergamon Press, Oxford London New-York Paris 1963. Zbl0137.02001MR30 #2090
  8. [FV] S. Feferman et R. Vaught, The first-order properties of products of algebraic systems, Fund. Math. XLVII (1959), pp. 57-103. Zbl0088.24803MR21 #7171
  9. [Gr] M. Greenberg, Lectures on forms in many variables, IHES Publications Mathématiques 31 (1966), pp. 59-64. MR34 #7515
  10. [Gu] Y. Gurevič, Elementary properties of ordered abelian groups, AMS Translations 46 (1965), pp. 165-192. Zbl0178.31403
  11. [O] F. Oger, Produits lexicographiques de groupes ordonnés, isomorphisme et équivalence élémentaire, à paraître. Zbl0656.06016
  12. [R] P. Ribenboim, Théorie des valuations, Les Presses de l'Université de Montréal, Montréal 1964. Zbl0139.26201
  13. [Sa] G. Sabbagh, Aspects logiques de la pureté dans les modules, C.R.A.S. Paris, t. 271 (9 nov. 1970), Série A, pp. 909-912. Zbl0202.00901MR43 #269
  14. [Sh] S. Shelah, The lazy model-theorician's guide to stability, in Six Days of Model Theory ［...］, ed. P. Henrard, Castella, Albeuve 1977. Zbl0414.03022

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