Lou van den Dries

1977 …2019
If you made any changes in Pure, your changes will be visible here soon.

Research Output 1977 2019

1983

Injective polynomial maps and the Jacobian conjecture

Connell, E. & van den Dries, L., Jun 1983, In : Journal of Pure and Applied Algebra. 28, 3, p. 235-239 5 p.

Research output: Contribution to journalArticle

Jacobian Conjecture
Polynomial Maps
Injective

Reducing to prime characteristic

van den Dries, L., 1983, Rijksuniversiteit Utrecht, Mathematical Institute, Utrecht. (Communications of the Mathematical Institute, Rijksuniversiteit Utrecht)

Research output: Book/ReportBook

1982

A specialization theorem for analytic functions on compact sets

van den Dries, L., 1982, In : Indagationes Mathematicae (Proceedings). 85, 4, p. 391-396 6 p.

Research output: Contribution to journalArticle

Specialization
Compact Set
Analytic function
Algebraic function
Theorem

A specialization theorem for analytic functions on compact sets

van den Dries, L., Dec 1 1982, In : Indagationes Mathematicae. 44, 4, p. 391-396 6 p.

Research output: Contribution to journalArticle

Specialization
Compact Set
Analytic function
Algebraic function
Theorem

Elementary equivalence and the commutator subgroup

van den Dries, L. P. D., Glass, A. M. W., Macintyre, A., Mekler, A. H. & Poland, J., Jul 1982, In : Glasgow Mathematical Journal. 23, 2, p. 115-117 3 p.

Research output: Contribution to journalArticle

Commutator subgroup
Equivalence

Some applications of a model theoretic fact to (semi-) algebraic geometry

van den Dries, L., Dec 1 1982, In : Indagationes Mathematicae. 44, 4, p. 397-401 5 p.

Research output: Contribution to journalArticle

Algebraic Geometry
Model

Some applications of a model theoretic fact to (semi-) algebraic geometry

van den Dries, L., 1982, In : Indagationes Mathematicae (Proceedings). 85, 4, p. 397-401 5 p.

Research output: Contribution to journalArticle

1981

A specialization theorem for p-adic power series converging on the closed unit disc

van den Dries, L., Dec 1981, In : Journal of Algebra. 73, 2, p. 613-623 11 p.

Research output: Contribution to journalArticle

Specialization
P-adic
Power series
Unit Disk
Closed

Decidability and undecidability theorems for pac-fields

Cherlin, G., Van Den Dries, L. & Macintyre, A., Jan 1 1981, In : Bulletin of the American Mathematical Society. 4, 1, p. 101-104 4 p.

Research output: Contribution to journalArticle

Computability and decidability
Undecidability
Decidability
Theorem

Quantifier elimination for linear formulas over ordered and valued fields

van den Dries, L., 1981, In : Bull. Soc. Math. Belg. Sér. B. 33, 1, p. 19-31 13 p.

Research output: Contribution to journalArticle

Subgroups of free profinite groups and large subfields of {Mathematical expression}

Lubotzky, A. & van den Dries, L., Mar 1 1981, In : Israel Journal of Mathematics. 39, 1-2, p. 25-45 21 p.

Research output: Contribution to journalArticle

Profinite Groups
Irreducibility
Subfield
Free Group
Hilbert
Polynomials
Ring
Curve
Axioms
Proof by induction
1980
Elimination Theory
Real Closed Fields
Quantifier Elimination
Quantifiers
Linearly

Some model theory and number theory for models of weak systems of arithmetic

van den Dries, L., 1980, Model theory of algebra and arithmetic (Proc. Conf., Karpacz, 1979). Springer Berlin, Vol. 834. p. 346-362 17 p. (Lecture Notes in Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1979

Algorithms and Bounds for Polynomial Rings

van den Dries, L., Jan 1 1979, In : Studies in Logic and the Foundations of Mathematics. 97, C, p. 147-157 11 p.

Research output: Contribution to journalArticle

Polynomial ring
Lemma
Intersection Theorem
Primitive Element
Express

Application de la théorie des modèles aux groupes de Galois de corps de fonctions

van den Dries, L. & Ribenboim, P., 1979, In : C. R. Acad. Sci. Paris Sér. A-B. 288, 17, p. A789-A792

Research output: Contribution to journalArticle

New decidable fields of algebraic numbers

Van Den Dries, L., Nov 1979, In : Proceedings of the American Mathematical Society. 77, 2, p. 251-256 6 p.

Research output: Contribution to journalArticle

Algebraic number
Closed
Subfield

Ultraproducts and approximation in local rings I

Becker, J., Denef, J., Lipshitz, L. & van den Dries, L., Jun 1 1979, In : Inventiones Mathematicae. 51, 2, p. 189-203 15 p.

Research output: Contribution to journalArticle

Ultraproduct
Local Ring
Approximation
1977

Artin-Schreier theory for commutative regular rings

van den Dries, L., Dec 1977, In : Annals of Mathematical Logic. 12, 2, p. 113-150 38 p.

Research output: Contribution to journalArticle