Diophantine equivalence and countable rings

DOI10.2307/2275929zbMath0810.11072OpenAlexW2036559343MaRDI QIDQ4314692

Alexandra Shlapentokh

Publication date: 11 April 1995

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275929

zbMATH Keywords

diophantine equivalencediophantine generationdiophantine definitioncountable ringsdiophantine setsdiophantine classesexistential polynomial languagesholomorphy rings of \(\mathbb{Q}\)holomorphy rings of the field of rational numbers \(\mathbb{Q}\)relative enumeration class

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability of theories and sets of sentences (03B25) Applications of logic to commutative algebra (13L05) Arithmetic rings and other special commutative rings (13F99) Diophantine equations (11D99)

Related Items (4)

Rational separability over a global field ⋮ Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory ⋮ Weak presentations of non-finitely generated fields ⋮ Generalised weak presentations

Cites Work

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