A Diophantine Problem for Laurent Polynomial Rings

DOI10.2307/2045551zbMath0532.10032OpenAlexW4241335715MaRDI QIDQ3313942

Peter Pappas

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045551

zbMATH Keywords

Laurent polynomial ringunsolvable problemsdiophantine problemHilbert tenth problem

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability of theories and sets of sentences (03B25) (p)-adic and power series fields (11D88) Diophantine equations (11D99)

Related Items (3)

Elimination of quantifiers from arithmetical formulas defining recursively enumerable sets ⋮ Equations in Algebras ⋮ Undecidability of equations in free Lie algebras

Cites Work

• Diophantine Sets Over Algebraic Integer Rings. II
• Hilbert's Tenth Problem for Quadratic Rings
• The Diophantine Problem for Polynomial Rings and Fields of Rational Functions
• Hilbert's Tenth Problem is Unsolvable
• Computable Algebra, General Theory and Theory of Computable Fields

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