Carlos R. Videla

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All published works

Action	Title	Year	Authors
+ PDF Chat	An approach to Julia Robinson numbers through the lattice of subfields	2024	Xavier Vidaux Carlos R. Videla
+	Julia Robinson numbers	2023	Xavier Vidaux Carlos R. Videla
+	Julia Robinson numbers	2023	Xavier Vidaux Carlos R. Videla
+ PDF Chat	Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's	2021	Xavier Vidaux Carlos R. Videla
+ PDF Chat	Julia Robinson numbers and arithmetical dynamic of quadratic polynomials	2020	Marianela Castillo Fernández Xavier Vidaux Carlos R. Videla
+	Undecidability of ℚ⁽²⁾	2019	Carlos Martínez-Ranero Javier Utreras Carlos R. Videla
+	Dedekind's criterion for the monogenicity of a number field versus Uchida's and L\"uneburg's	2018	Xavier Vidaux Carlos R. Videla
+	Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's	2018	Xavier Vidaux Carlos R. Videla
+	Julia Robinson numbers and arithmetical dynamic of quadratic polynomials	2017	Marianela Castillo Fernández Xavier Vidaux Carlos R. Videla
+	Julia Robinson numbers and arithmetical dynamic of quadratic polynomials	2017	Marianela Castillo Fernández Xavier Vidaux Carlos R. Videla
+	A note on the Northcott property and undecidability	2015	Xavier Vidaux Carlos R. Videla
+	Definability of the natural numbers in totally real towers of nested square roots	2015	Xavier Vidaux Carlos R. Videla
+	Definability and decidability in infinite algebraic extensions	2014	Alexandra Shlapentokh Carlos R. Videla
+	Definability and Decidability in Infinite Algebraic Extensions	2011	Alexandra Shlapentokh Carlos R. Videla
+	UNDECIDABILITY OF FAMILIES OF RINGS OF TOTALLY REAL INTEGERS	2008	Moshe Jarden Carlos R. Videla
+	El décimo problema de Hilbert, curvas elípticas y la conjetura de Mazur	2006	Carlos R. Videla
+	Definability of the ring of integers in pro-p galois extensions of number fields	2000	Carlos R. Videla
+	The undecidability of cyclotomic towers	2000	Carlos R. Videla
+	On points constructible from conics	1997	Carlos R. Videla
+	The field of real numbers constructible with a ruler and scale is undecidable	1997	Carlos R. Videla
+	Spectrum functions for certain classes of nilpotent groups	1995	Carlos R. Videla
+ PDF Chat	Hilbert’s tenth problem for rational function fields in characteristic 2	1994	Carlos R. Videla
+	Hilbert's Tenth Problem for Rational Function Fields in Characteristic 2	1994	Carlos R. Videla
+	On the constructible numbers	1994	Carlos R. Videla
+	Spectrum functions for certain classes of nilpotent group	1994	Carlos R. Videla
+ PDF Chat	On the Mal\cprime cev correspondence	1990	Carlos R. Videla
+	On the model theory of the ring NT(n, R)	1988	Carlos R. Videla
+	Elementarily equivalent fields with inequivalent perfect closures	1987	Carlos R. Videla
+ PDF Chat	Elementarily Equivalent Fields with Inequivalent Perfect Closures	1987	Carlos R. Videla

Common Coauthors

Coauthor	Papers Together
Xavier Vidaux	11
Marianela Castillo Fernández	3
Alexandra Shlapentokh	2
Javier Utreras	1
Moshe Jarden	1
Carlos Martínez-Ranero	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Decision Problem for Algebraic Rings	1970	Julia Robinson Gábor Szegő Charles Loewner Stefan Bergman M. M. Schiffer Jerzy Neyman	7
+	Definability of the ring of integers in pro-p galois extensions of number fields	2000	Carlos R. Videla	5
+ PDF Chat	Real Hilbertianity and the field of totally real numbers	1994	Michael D. Fried Dan Haran Helmut Völklein	4
+	Definability of the natural numbers in totally real towers of nested square roots	2015	Xavier Vidaux Carlos R. Videla	4
+ PDF Chat	The undecidability of algebraic rings and fields	1959	Julia Robinson	3
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	3
+ PDF Chat	Undecidability and definability for the theory of global fields	1980	Robert Rumely	3
+	Arithmetic over the rings of all algebraic integers.	1986	Robert Rumely	3
+ PDF Chat	First-order decidability and definability of integers in infinite algebraic extensions of the rational numbers	2018	Alexandra Shlapentokh	2
+	Infinite Abelian groups	1970	L. Fuchs	2
+	Definability and decision problems in arithmetic	1949	Julia Robinson	2
+ PDF Chat	Julia Robinson numbers and arithmetical dynamic of quadratic polynomials	2020	Marianela Castillo Fernández Xavier Vidaux Carlos R. Videla	2
+	UNDECIDABILITY OF FAMILIES OF RINGS OF TOTALLY REAL INTEGERS	2008	Moshe Jarden Carlos R. Videla	2
+	Definability of the ring of integers in some infinite algebraic extensions of the rationals	2012	Kenji Fukuzaki	2
+	The undecidability of cyclotomic towers	2000	Carlos R. Videla	2
+ PDF Chat	Contemporary Mathematics	1961		2
+ PDF Chat	Undecidability in Number Theory	2014	Jochen Koenigsmann	2
+	A note on the Northcott property and undecidability	2015	Xavier Vidaux Carlos R. Videla	2
+	Basic Algebra I.	1986	Andy R. Magid Nathan Jacobson	2
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald	2
+	Julia Robinson numbers	2019	Pierre Gillibert Gabriele Ranieri	2
+	Undecidability of some elementary theories over pac fields	1986	Gregory Cherlin Moshe Jarden	1
+	OnL-functions of elliptic curves and cyclotomic towers	1984	David E. Rohrlich	1
+	Automorphisms of certain unipotent groups	1970	John A Gibbs	1
+	The Rank and Generating Set for Iterated Wreath Products of Cyclic Groups	2011	Adam Woryna	1
+	Roots of unity over large algebraic fields	1975	Moshe Jarden	1
+	A Generalization of Dedekind Criterion	2007	Munish Kumar Sudesh K. Khanduja	1
+	On the model theory of the ring NT(n, R)	1988	Carlos R. Videla	1
+ PDF Chat	Elliptic curves and Hilbert’s tenth problem for algebraic function fields over real and<i>p</i>-adic fields	2005	Laurent Moret-Bailly	1
+ PDF Chat	Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.	1857	Léopold Kronecker	1
+	Hilbert's Tenth Problem for fields of rational functions over finite fields	1991	Thanases Pheidas	1
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	1
+	Diophantine undecidability in some rings of algebraic numbers of totally real infinite extensions of Q	1994	Alexandra Shlapentokh	1
+	The Galois Theory of Iterates and Composites of Polynomials	1985	R. W. K. Odoni	1
+	Rings of algebraic numbers in infinite extensions of $${\mathbb {Q}}$$ and elliptic curves retaining their rank	2009	Alexandra Shlapentokh	1
+	A Manual of Greek Mathematics	1931	H. W. Turnbull	1
+	The elementary theory of abelian groups	1972	Paul C. Eklof Edward R. Fischer	1
+	Hilbert's Tenth Problem.	1995	Martin Davis Yuri Matiyasevich	1
+ PDF Chat	Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields	2006	Kirsten Eisenträger	1
+	Model theory of modules	1984	Martin Ziegler	1
+	Theories with models of prescribed cardinalities	1977	Alan H. Mekler	1
+	On prime divisors of the index of an algebraic integer	2016	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan	1
+	On the ring of integers of real cyclotomic fields	2016	Koji Yamagata Masakazu Yamagishi	1
+	Number Theory III	1991	Serge Lang	1
+ PDF Chat	Elliptic curves and Hilbert's tenth problem for algebraic function fields over real and p-adic fields	2005	Laurent Moret-Bailly	1
+	Number Theory	1980	Helmut Hasse	1
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	1
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	1
+ PDF Chat	Characterizing integers among rational numbers with a universal-existential formula	2009	Bjorn Poonen	1
+ PDF Chat	Model Theory with Applications to Algebra and Analysis: First-order characterization of function field invariants over large fields	2008	Bjorn Poonen Florian Pop	1