Non-minimalité de la clôture différentielle I : la preuve de S. Shelah

François Gramain

Groupe d'étude de théories stables (1980-1982)

  • Volume: 3, page 1-9

How to cite

top

Gramain, François. "Non-minimalité de la clôture différentielle I : la preuve de S. Shelah." Groupe d'étude de théories stables 3 (1980-1982): 1-9. <http://eudml.org/doc/114188>.

@article{Gramain1980-1982,
author = {Gramain, François},
journal = {Groupe d'étude de théories stables},
keywords = {differential fields; differential closure; subfield},
language = {fre},
pages = {1-9},
publisher = {Secrétariat mathématique},
title = {Non-minimalité de la clôture différentielle I : la preuve de S. Shelah},
url = {http://eudml.org/doc/114188},
volume = {3},
year = {1980-1982},
}

TY - JOUR
AU - Gramain, François
TI - Non-minimalité de la clôture différentielle I : la preuve de S. Shelah
JO - Groupe d'étude de théories stables
PY - 1980-1982
PB - Secrétariat mathématique
VL - 3
SP - 1
EP - 9
LA - fre
KW - differential fields; differential closure; subfield
UR - http://eudml.org/doc/114188
ER -

References

top
  1. [Ba] Baker ( Alan). - Transcendental number theory. - Cambridge, Cambridge University Press, 1975. Zbl0297.10013MR422171
  2. [Bl] Blum ( Lenore). - Generalized algebraic structures : a model theoretic approach Ph. D. dissertation, M. I. T., 1968. 
  3. [Bo] Bourbaki ( Nicolas). - Algèbre, chapitres 4 à 7. - Paris, Masson, 1981. Zbl0498.12001MR643362
  4. [Br] Brestovski ( Michel). - Indépendance algébrique de solutions d'équations différentielles, Thèse 3e cycle, ou C. R. Acad. Sc., t. 294, 1982, p. 609-612. Zbl0494.12020MR664292
  5. [K] Kolchin ( E.R.). - Constrained extensions of differential fields, Advances in Math., t. 12, 1974, p. 141-170. Zbl0279.12103MR340227
  6. [P] Picard ( Emile). - Traité d'analyse, 3 vol. - Paris, Gauthier-Villars, 1891-1896. 
  7. [R] Rosenlicht ( Maxwell). - The non mininality of the differential closure, Pacific J. of Math., t. 52, 1974, p. 529-537. Zbl0257.12107MR352068
  8. [Sa] Sacks ( G.). - The differential closure of a differential field, Bull. Amer. math. Soc., t. 78, 1972, p. 629-634. Zbl0276.02039MR299466
  9. [Sh1] Shelah ( Saharon). - Uniqueness and characterization of prime models over sets for totally transcendental first order theories, J. of Symbolic Logic, t. 37, 1972, p. 107-113. Zbl0247.02047MR316239
  10. [Sh2] Shelah ( Saharon). - Differentially closed fields, Israel J. of Hath., t. 16, 1973, p. 314-328. Zbl0306.12105MR344116
  11. [W] Walker ( Robert J. ) . - Algebraic curves. - Princeton, Princeton University Press, 1950 (Princeton mathematical Series, 13). Zbl0039.37701MR33083

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.