Model theory of fields: An application to positive semidefinite polynomials

Alexander Prestel

Mémoires de la Société Mathématique de France (1984)

  • Volume: 16, page 53-65
  • ISSN: 0249-633X

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Prestel, Alexander. "Model theory of fields: An application to positive semidefinite polynomials." Mémoires de la Société Mathématique de France 16 (1984): 53-65. <http://eudml.org/doc/94850>.

@article{Prestel1984,
author = {Prestel, Alexander},
journal = {Mémoires de la Société Mathématique de France},
keywords = {ordering of higher level; model completeness; non-standard; numbers; rational function field; real closed field},
language = {eng},
pages = {53-65},
publisher = {Société mathématique de France},
title = {Model theory of fields: An application to positive semidefinite polynomials},
url = {http://eudml.org/doc/94850},
volume = {16},
year = {1984},
}

TY - JOUR
AU - Prestel, Alexander
TI - Model theory of fields: An application to positive semidefinite polynomials
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 16
SP - 53
EP - 65
LA - eng
KW - ordering of higher level; model completeness; non-standard; numbers; rational function field; real closed field
UR - http://eudml.org/doc/94850
ER -

References

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  1. [1] BECKER, E. : Summen n-ter Potenzen in Körpern. J.reine angew. Math. 307/308 (1979), 8-30. Zbl0398.12012MR80k:12034
  2. [2] BECKER, E. : The real holomorphy ring and sums of 2n-th powers. Lecture Notes in Math. 959 (Springer, 1982), 139-181 Zbl0508.12020MR84g:12032
  3. [3] BOURBAKI, N. : Elements of mathematics, commutative algebra. Paris 1972 Zbl0666.13001MR50 #12997
  4. [4] ENDLER, O. : Valuation theory. Berlin-Heidelberg-New York 1972 Zbl0257.12111MR50 #9847
  5. [5] JOLY, R.J. : Sommes de puissance d-ièmes dans un anneau commutatif. Acta arithmetica 17 (1970), 37-114 Zbl0206.34001MR41 #8379
  6. [6] KUHLMANN, F.V. - PRESTEL, A. : On places of algebraic function fields. (To appear) Zbl0535.12015
  7. [7] PRESTEL, A. : Lectures on formally real fields. Monografías de matematica 22, IMPA, Rio de Janeiro 1975 Zbl0548.12010

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