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Hilbert's tenth problem over other rings

mathoverflow.net/questions/11540/what-are-the-most-attractive-turing-undecidable-problems-in-mathematics/11557#11557 contains a good overview of the decidability status of variants over rings other than the integers.

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  1. Hilbert's tenth problem variant
  2. Hilbert's tenth problem
  3. Diophantine equation
  4. Polynomial
  5. Numeric function
  6. Function by signature
  7. Function
  8. Formalization of mathematics
  9. Area of mathematics
  10. Mathematics
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