Homepage von Alexander Prestel

Publikationen

1.	Die elliptischen Fixpunkte der Hilbertschen Modulgruppen Math. Ann. 177 (1968), 181-209
2.	Die Fixpunkte der symmetrischen Hilbertschen Modulgruppe zu einem reell-quadratischen Zahlkörper mit Primzahldiskriminante Math. Ann. 200 (1973), 123-139
3.	On a Class of Pasch-free Euclidean Planes (with H.N. Gupta) Bull. Acad. Polon. 20 (1972), 17-23
4.	Triangle and Schwarz Inequality in Pasch-free Euclidean Geometry (with H.N. Gupta) Bull. Acad. Polon. 20 (1972), 999-1003
5.	Euklidische Geometrie ohne das Axiom von Pasch Abh. Math. Sem. Hamburg 41 (1974), 224-251
6.	Quadratische Semi-Ordnungen und quadratische Formen Math. Z. 133 (1973), 319-342
7.	Erblich euklidische Körper (with M. Ziegler) J. reine angew. Math. 274/275 (1975), 196-205
8.	On some Hasse Principles of Formally Real Fields (with R. Elman and T.Y. Lam) Math.Z. 134 (1973), 291-301
9.	Non-Axiomatizability of Real General-Affine Geometry (with L.W. Szczerba) Fund. Math. 104 (1979), 193-202
10.	An Introduction to Ultra Products Atas da 3. Escola de Algebra 1974, IMPA, Rio de Janeiro, 111-134
11.	A Local Global Principle for Quadratic Forms Math. Z. 142 (1975), 91-95
12.	Lectures on Formally Real fields Monografias de Mathematica 22, IMPA, Rio de Janeiro 1975, 187 p. (2.ed.: Lecture Notes in Mathematics 1093, Springer)
13.	Local-Global Principles for Quadratic Forms over Function Fields Conference on Quadratic Forms - 1976 Queen's Paper in Pure and Applied Math. 46 (1977), 595-612
14.	Model Theoretic Methods in the Theory of Topological Fields (with M. Ziegler) J. reine angew. Math. 299/300 (1978), 318-341
15.	Non-Axiomatizable Classes of V-Topological Fields (with M Ziegler) J. reine angew. Math. 316 (1980), 211-214
16.	Entscheidbarkeit mathematischer Theorien Jahresber. DMV 81 (1979), 177-188
17.	Remarks on the Pythagoras and Hasse Number of Real Fields J. reine angew. Math. 303/304 (1978), 284-294
18.	Almost Isotropic Quadratic Forms (with R. Ware) J. London Math. Soc. (2)19 (1979), 241-244
19.	Sums of Squares over Fields Atas da 5. Escola de Algebra, IMPA, Rio de Janeiro 1978, 33-44
20.	Artin's Conjecture on p-adic Number Fields Atas da 5. Escola de Algebra, IMPA, Rio de Janeiro, 1978, 79-109
21.	Zur Axiomatisierung gewisser affiner Geometrien L'Enseignement Mathematique II, 27 (1981), 125-136
22.	Pseudo Real Closed Fields In: Set Theory and Model Theory eds. R.B. Jensen and A. Prestel Lecture Notes in Math., Springer Nr. 872, 127-156
23.	Decidable Theories of Preordered Fields Math. Ann. 258 (1982), 481-492
24.	Reduced Stability of the Witt Ring of a Field and its Pythagorean Closure (with R. Elman) Amer. J. of Math. 106 (1984), 1237-1260
25.	Bewertungsfortsetzungen und nicht-injektive Kollineationen (with R. Fritsch) Geometriae Dedicata 13 (1982), 107-111
26.	Non-Standard Analysis Chapter 11 in "Zahlen", Grundwissen Mathematik, Springer, 1983
27.	p-Adically Closed Fields Atas da 7. Escola de Algebra, IMPA, Rio de Janeiro 1983, 1-11
28.	Lectures on Formally p-Adic Fields (with P. Roquette) Monografias de Matematica 38, IMPA, Rio de Janeiro 1983, 169 p. (also published as `Lecture Notes in Mathematics' 1050, Springer)
29.	Fields Regularly Closed with Respect to Finitely Many Valuations and Orderings (with B. Heinemann) Canad.Math.Soc.Conf.Proc.4(1984), 297-336
30.	On the Axiomatization of PRC-Fields Proc. of the VI Latin American Symposium on Mathematical Logic, Caracas 1983 Lecture Notes in Math., 1130, Springer
31.	Model Theory of Fields: An Application to Positive Semidefinite Polynomials Proc. of the 'Table Ronde de Logique', Paris 1983 Mem. Soc. Math. France 16 (1984), 53-65
32.	On Places of Algebraic Function Fields (with F.-V. Kuhlmann) J. reine angew. Math. 353 (1984), 181-195
33.	On the Size of Zeros of Quadratic Forms over Rational Function Fields J. reine angew. Math. 378 (1987), 101-112
34.	On Trace Forms of Algebraic Function Fields Rocky Mountain J. of Math. 19 (1989), 897-911
35.	Model Theory Applied to some Questions about Polynomials In: Contributions to General Algebra 5, Proc. Salzburg Conf. 1986, 31-43, Teubner 1987
36.	Sums of 2m-th Powers of Rational Functions Atas do 15 coloquio brasileiro de mathematica 1985. IMPA, Rio de Janeiro 1987, 27-30
37.	Representations of a Real Polynomial f(X) as a Sum of 2m-th Powers of Rational Functions (with M. Bradley) In: Martinez, Jorge (ed.). Ordered Algebraic Structures. Kluwer Acad.Pub. 1989, 197-207
38.	Existentially Closed Domains with Radical Relations: An Axiomatization of the Ring of Algebraic Integers (with J. Schmid) J. reine angew. Math.407 (1990), 178-201
39.	Decidability of the Ring of Real Algebraic and p-Adic Algebraic Integers (with J. Schmid) J. reine angew. Math. 414 (1991), 141-148
40.	Algebraic Number Fields Elementarily Determined by their Absolute Galois Group Israel J. of Math. 73 (1991), 199-205
41.	Unique Realizability of Finite Abelian 2-Groups as Galois Groups (with Ch.U.Jensen) J. of Number Theory 40 (1992), 12-31
42.	Realization of Finitely Generated Profinite Groups by Maximal Abelian Extensions of Fields (with Ch.U.Jensen) J. reine angew. Math 447 (1994), 201-218
43.	Integer-Valued Rational Functions on Valued Fields (with C.C.Ripoll) manuscripta mathematica 73 (1991), 437-452
44.	On a Variation of Hilbert's 17-th Problem Proceedings: Algebra and Number Theory. De Gruyter 1994
45.	Sums of 2m-th Powers of Rational Functions inOne Variable over Real Closed Fields (with M.D.Choi, T.Y.Lam, and B. Reznick) Math.Z. 221 (1996), 93-112
46.	On Soler's Characterization of Hilbert Spaces manuscripta mathematica 86 (1995), 225-238
47.	Finitely Generated Pro-p-Groups as Galois Groups of Maximal p-Extensions of Function Fields over $\Q_{q}$ (with Ch.U.Jensen) manuscripta mathematica 90 (1996), 225-238
48.	How often can a finite group be realized as Galois group over a field (with Ch.U. Jensen) manuscripta mathematica 99 (1999), 223-247
49.	Tame Galois p-extensions of p-henselian fields (with A.J. Engler) manuscripta mathematica 99 (1999), 249-254
50.	Model theory of real closed rings (with N. Schwartz) Valuation Theory and its Applications eds. F.-V. Kuhlmann, S. Kuhlmann, and M. Marshall, Fields Institute Communications 32 (2002), 261-290
51.	Distinguished representations of strictly positive polynomials (with Th. Jacobi) J. reine angew. Math. 532 (2001), 223-235
52.	Bounds for Representations of Polynomials Positive on Compact Semialgebraic Sets Valuation Theory and its Applications eds. F.-V. Kuhlmann and M. Marshall, Fields Institute Communications 32 (2002), 253-260
53.	Representation of Real Commutative Rings Expo Math 23 (2005), 89-98
54.	Soler's Theorem Handbook of Quantum Logic, Elsevier
55.	Positive Elimination in Valued fields manuscripta math. 123 (2007), 95-103
56.	Quadratic Moduls of Polynomials in Two Variables (with Egenia Cabral) Ad. Geom. 8 (2008), 189-204
57.	Aglebraic Characterization of Rings of Continuous p-adic Valued Functions (with Samuel Volkweis Leite) Communications in Algebra 44 (2016), 486-499
58.	Definable henselian Valuation Rings J. Symbolic Logic 80 (2015), 1260-1267
59.	Uniform Definability of Henselian Valuation Rings in the Macintyre Language (with Arno Fehm) Bull. London Math. Soc. 47 (2015), 693-703

Books

(i)	Mengenlehre fü Mathematiker (with U. Friedrichsdorf) Vieweg Studium, Grundkurs Mathematik, 1985
(ii)	Einfüung in die Mathematische Logik und Modelltheorie Vieweg Studium, Grundkurs Mathematik, 1986
(iii)	Model Theory fro the Real Algebraic Geometer Universita di Pisa, 1998
(iv)	Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (with Ch. N. Delzell) Springer Monographs in Mathematics, 2001
(v)	Valued Fields (with A. J. Engler) Springer Monographs in Mathematics, 2005
(vi)	Mathematival Logic and Model Theory (with Ch. N. Delzell) Springer Universitext, 2011

Stand: 24. März 2016