Alexandra Shlapentokh

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Publications in SciGraph latest 50 shown

  • 2018-06 First-order decidability and definability of integers in infinite algebraic extensions of the rational numbers in ISRAEL JOURNAL OF MATHEMATICS
  • 2016 Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory in MARTIN DAVIS ON COMPUTABILITY, COMPUTATIONAL LOGIC, AND MATHEMATICAL FOUNDATIONS
  • 2015 Hilbert’s Tenth Problem for Subrings of $${\mathbb {Q}}$$ and Number Fields (Extended Abstract) in THEORY AND APPLICATIONS OF MODELS OF COMPUTATION
  • 2009-05 Defining the integers in large rings of a number field using one universal quantifier in JOURNAL OF MATHEMATICAL SCIENCES
  • 2009-02 Rings of algebraic numbers in infinite extensions of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Q}}$$\end{document} and elliptic curves retaining their rank in ARCHIVE FOR MATHEMATICAL LOGIC
  • 2005-10 Diophantine Undecidability for Some Function Fields of Infinite Transcendence Degree and Positive Characteristic in JOURNAL OF MATHEMATICAL SCIENCES
  • 2002-05 Diophantine Undecidability of Function Fields of Characteristic Greater than 2, Finitely Generated over Fields Algebraic over a Finite Field in COMPOSITIO MATHEMATICA
  • 2002-02 Defining Integrality at Prime Sets of High Density over Function Fields in MONATSHEFTE FÜR MATHEMATIK
  • 2001-05 Diophantine definability over non-finitely generated non-degenerate modules of algebraic extensions of ℚ in ARCHIVE FOR MATHEMATICAL LOGIC
  • 1997-12 The logic of pseudo-S-integers in ISRAEL JOURNAL OF MATHEMATICS
  • 1997-08 Diophantine definability over some rings of algebraic numbers with infinite number of primes allowed in the denominator in INVENTIONES MATHEMATICAE
  • Affiliations

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