Elementary properties of power series fields over finite fields

Journal of Symbolic Logic

Volumn 66, Issue 2, 2001, Pages 771-791

  Kuhlmann, Franz Viktor ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035534344     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695043     Document Type: Article

References (26)

1. J. Ax. On the undecidability of power series fields. Proceedings of the American Mathematical Society, vol. 16, 1965, p. 846.
2. J. AX and S. KOCHEN, Diophantine problems over local fields I, II, American Journal of Mathematics, vol. 87 (1965), pp. 605-630, pp. 631-648.
3. W. BAUR, Die Theories der Paare reell abgeschlossener Körper, Monographies de L 'Enseignment Mathématique, vol. 30. Université de Genève, 1982.
4. _, On the elementary theory of pairs of real closed fields, this JOURNAL, vol.47 (1982), no. 3, pp. 669-679.
5. F. DELON, Quelques properiétés des corps valués en théories des modèles, Ph.D. thesis, Paris VII, 1981.
6. Y. L. ERSHOV, On the elementary theory of maximal valued fields I, II, III, Algebra i Logika, vol. 4 (1965), no. 3. pp. 31-70, vol. 5 (1966), no. 1, pp. 5-40, vol. 6 (1967), no. 3, pp. 31-38.
7. Y. L. ERSHOV, On the elementary theory of maximal valued fields I, II, III, Algebra i Logika, vol. 4 (1965), no. 3. pp. 31-70, vol. 5 (1966), no. 1, pp. 5-40, vol. 6 (1967), no. 3, pp. 31-38.
8. Y. L. ERSHOV, On the elementary theory of maximal valued fields I, II, III, Algebra i Logika, vol. 4 (1965), no. 3. pp. 31-70, vol. 5 (1966), no. 1, pp. 5-40, vol. 6 (1967), no. 3, pp. 31-38.
9. K. A. H. GRAVETT, Note on a result of Krull, Cambridge Philosophical Society Proceedings, vol. 52, 1956, p. 379.
10. I. KAPLANSKY, Maximal fields with valuations I, Duke Mathematical Journal, vol. 9 (1942), pp. 303-321.
11. W. KRULL, Allgemeine Bewertungstheorie. Journal für die Reine und Angewandte Mathematik, vol. 167 (1931). pp. 160-196.
12. F. -V. KUHLMANN, The model theory of tame valued fields, in prepation.
13. _, A theorem about maps on spherically complete ultrametric spaces, preprint.
14. _, Valuation theory of fields, abelian groups and modules, Algebra, Logic and Applications (A Macintyre and R Göbel. editors), Gordon and Breach, to appear.
15. _, Henselian function fields and tame fields, preprint (extended version of PhD thesis). 1990.
16. _, On local uniformization in arbitrary characteristic. The Fields Institute Preprint Series, Toronto, 1997.
17. _, On local uniformization in arbitrary characteristic I, preprint, 1998.
18. _, Valuation theoretic and model theoretic aspects of local uniformization. Proceedings of the Tirol Conference on Resolution of Singularities (Birkhäuser) (H. Hauser et al., editors), 1999.
19. F.-V. KUHLMANN and A. PRESTEL. On places of algebraic function fields. Journal für die Reine und Angewandte Mathematik, vol. 353 (1984). pp. 182-195.
20. S. LANG, Algebra, Addison Wesley, New York, 1965.
21. O. ORE, On a special class of polynomials. Transactions of the American Mathematical Society, vol. 35 (1933), pp. 559-584.
22. P. RIBENBOIM. Théorie des valuations, Les Presses de l'Université de Montréal, Montréal, 1968.
23. J. ROBINSON, The decision problem for fields, Theory of Models (proceedings of the 1963 International Symposium of Berkeley) (Amsterdam, North-Holland), 1965, pp. 299-311.
24. p((t)), Canadian Mathematical Bulletin, to appear.
25. G. WHAPLES, Additive polynomials, Duke Mathematical Journal vol. 21 (1954), pp. 55-65.
26. _, Galois cohomology of additive polynomials and n-th power mappings of fields, Duke Mathematical Journal, vol. 24 (1957), pp. 143-150.