Salma Kuhlmann's

Publications

Research Monograph: Ordered Exponential Fields, The Fields Institute Monograph Series, vol. 12, Amer. Math. Soc. (2000), 164 pages.
Review (CMS Notes vol. 33 No. 7, November 2001)

Proceedings: Kuhlmann, F.-V. - Kuhlmann, S. - Marshall, M., (editors) : Valuation Theory and Its Applications, Volume I and Volume II,
The Fields Institute Communications Series vol. 32 and 33, Amer. Math. Soc. (2002 and 2003).

Refereed articles:

  1. Kuhlmann, Salma: Groupes abéliens divisibles ordonnés,
    in: Séminaire sur les Structures Algébriques Ordonnées, Sélection d'exposés 1984-1987, Vol.1, Publications mathématiques de l'Université Paris VII, 3-14 (1990)

  2. Kuhlmann, Salma: On the structure of nonarchimedean exponential fields I, Archive for Math. Logic 34, 145-182 (1995)
    (postscript file) --- [Abstract]

  3. Kuhlmann, Franz-Viktor - Kuhlmann, Salma: On the structure of nonarchimedean exponential fields II, Communications in Algebra 22, 5079-5103 (1994)
    (postscript file)

  4. Alling, Norman L. - Kuhlmann, Salma: On $\eta_\alpha$-groups and fields, Order 11, 85-92 (1994)

  5. Kuhlmann, Salma: Isomorphisms of lexicographic powers of the reals, Proc. Amer. Math. Soc. 123, 2657-2662 (1995)
    (postscript file)

  6. Kuhlmann, Salma: Valuation bases for extensions of valued vector spaces, Forum Math. 8, 723-735 (1996)
    (postscript file) --- [Abstract]

  7. Kuhlmann, Franz-Viktor - Kuhlmann, Salma - Shelah, Saharon: Exponentiation in power series fields, Proc. Amer. Math. Soc. 125, 3177-3183 (1997)
    (postscript file) --- [Abstract]

  8. Kuhlmann, Franz-Viktor - Kuhlmann, Salma: Ax-Kochen-Ershov principles for valued and ordered vector spaces,
    in Ordered Algebraic Structures, eds. W. C. Holland and J. Martinez, Kluwer Academic Publishers, 237-259 (1997)
    (postscript file) --- [Abstract]

  9. Kuhlmann, Salma: Infinitary properties for valued and ordered vector spaces, J. Symb. Logic 64, 216-226 (1999)

  10. Kuhlmann, F.-V. - Kuhlmann, S.: The exponential rank of nonarchimedean exponential fields,
    in: Charles N. Delzell and James J. Madden (eds.): Real Algebraic Geometry and Ordered Structures, Contemporary Mathematics 253, American Mathematical Society , 181-201 (2000)
    (postscript file)

  11. Kuhlmann, Franz-Viktor - Kuhlmann, Salma - Marshall, Murray - Zekavat, Mahdi: Embedding ordered fields in formal power series fields, J. Pure Appl. Algebra 169, 71--90 (2002)
    (dvi file) --- (postscript file)

  12. Kuhlmann, Salma - Marshall, Murray: Positivity, sums of squares and the multi-dimensional moment problem, Transactions Amer. Math. Soc., 354, 4285--4301 (2002)
    (dvi file) --- (postscript file)

  13. Kuhlmann, Franz-Viktor - Kuhlmann, Salma:
    Valuation theory of exponential Hardy fields I, Mathematische Zeitschrift 243, 671--688 (2003).
    (dvi file) --- (postscript file)

  14. Kuhlmann, Franz-Viktor - Kuhlmann, Salma - Shelah, Saharon: Functorial equations for lexicographic products, Proceedings Amer. Math. Soc. 131,2969-2976, (2003)
    (dvi file) --- (postscript file)

  15. Kuhlmann, Salma - Marshall, Murray - Schwartz, Niels:
    Positivity, sums of squares and the multi-dimensional moment problem II , Advances in Geometry 5 ,583-607, (2005)
    (dvi file) --- (postscript file)

  16. Holland, W. Charles - Kuhlmann, Salma - McCleary, Stephen:
    Lexicographic Exponentiation of chains, Journal of Symbolic Logic, 70,389-409, (2005) .
    (pdf file)

  17. Kuhlmann, Salma - Shelah, Saharon:
    kappa-bounded Exponential-Logarithmic power series fields, Annals Pure and Applied Logic 136, 284-296, (2005)
    (pdf file) --- (postscript file)

  18. Biljakovic, Darko - Kotchetov, Mikhail -- Kuhlmann, Salma:
    Primes and Irreducibles in Truncation Integer Parts of Real Closed Fields,
    in: Logic, Algebra and Arithmetic, Lecture Notes in Logic, Volume 26, Association for Symbolic Logic, AK Peters, 42-65 (2006)
    (pdf file) --- (postscript file)

  19. Kuhlmann, Salma - Putinar, Mihai:
    Positive Polynomials on Fibre Products, C. R. Acad. Sci. Paris, Ser. 1344, 681-684 (2007)
    (pdf file)

  20. Cimpric, Jaka - Kuhlmann, Salma - Scheiderer, Claus:
    Sums of Squares and Moment Problems in Equivariant Situations, Transactions Amer. Math. Soc. 361, no 2, 735-765 (2009)
    (pdf file)

  21. Kuhlmann, Salma - Putinar, Mihai:
    Positive Polynomials on Projective Limits of Real Algebraic Varieties , Bulletin des sciences mathematiques 133, 92-111 (2009)
    (pdf file),

  22. Kuhlmann, Franz-Viktor - Kuhlmann, Salma - Lee, Jonathan:
    Valuation bases for generalized algebraic series fields , Journal of Algebra 322, 1430-1453 (2009)
    Preprint arxiv.org/abs/0712.4037 (pdf file).

  23. Cimpric, Jaka - Kuhlmann, Salma - Marshall, Murray:
    Positivity in power series rings. Advances in Geometry 10 135 - 143 (January 2010)
    published on line.
    (pdf file)

  24. Fornasiero, Antongiulio, Kuhlmann, Franz-Viktor - Kuhlmann, Salma:
    Towers of complements and truncation closed embeddings of valued fields . Journal of Algebra 323, 574--600 (2010)
    published on line
    (pdf file).

  25. Kuhlmann, Salma
    A Family of $2^{\aleph_1}$ Logarithmic Functions of Distinct Growth Rates, Cent. Eur. J. Math. 8(6), 1026-1028 (2010) , (pdf file).

  26. Kuhlmann, Salma - Marshall, Murray - Osiak, Katarzyna :
    Cyclic 2-structures and spaces of orderings of power series fields in two variables, Journal of Algebra 335, 36--48 (2011). (pdf file)

  27. Kovacec, Alexander - Kuhlmann, Salma - Riener, Cordian:
    A Note on extrema of linear combinations of elementary symmetric functions, Linear and Multilinear Algebra,
    published online
    (arXiv 1103.0430)

  28. Kuhlmann, Salma - Matusinski, Mickael:
    Hardy type derivations on fields of exponential logarithmic series, Journal of Algebra 345, 171-189 (2011)
    published online
    (pdf file)

  29. Kuhlmann, Salma - Matusinski, Mickael:
    Hardy type derivations in generalized series fields , Journal of Algebra 351, 185-203 (2012)
    published online
    (pdf file)
Other refereed contributions:
    Ph.D. Thesis: Quelques propriétés des espaces vectoriels valués en théorie des modèles, Equipe de Logique Mathématique de Paris VII, Prépublications 27, Paris (1991). (Refereed by 3 referees)

    Habilitationsschrift: Ordered Exponential Fields (1999), 128 pages. (Refereed by 4 referees)

Non-refereed:
  1. Kuhlmann, Salma: Chaines uniquements transitives, in: Structures Algébriques Ordonnées, Séminaire 1985-1986, Paris VII (1986)
  2. Kuhlmann, Salma: A remark on the classification problem for ordered structures, in: Structures Algébriques Ordonnées, Séminaire 1987-1988, Paris VII (1988)
  3. Kuhlmann, Salma: 2 entries for the supplementary volume of the Encyclopaedia of Mathematics (ed. Hazewinkel): Model theory of the real exponential function / o-minimal (1996)
    (postscript file)
  4. Kuhlmann, Franz-Viktor - Kuhlmann, Salma: Residue fields of arbitrary convex valuations on restricted analytic fields with exponentiation I, The Fields Institute Preprint Series, Toronto, (December 1996), 27 pages, (pdf file)
  5. Kuhlmann, Franz-Viktor - Kuhlmann, Salma: Explicit construction of exponential-logarithmic power series, Prepublications de Paris 7, 61, Logique CNRS, Seminaire de Structures Algébriques Ordonnées, Séminaire 1995-1996, Paris, (February 1997)
  6. Kuhlmann, Salma: Approximation of positive polynomials by sums of squares. A short overview., in: Structures Algébriques Ordonnées, Séminaire Paris VII (February 2009)
    (pdf file).

Last update: December 28 2011