Abstract
Revisiting a recent result of Eisenträger and Everest who proved that Hilbert’s tenth problem is undecidable over certain subrings of \({\mathbb{Q}}\) , two additional theorems are proved. The theorems show that we can specify certain conditions for the sets of primes which define these rings. Thus, the freedom we have when choosing these rings is further illustrated.
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Perlega, S. Additional results to a theorem of Eisenträger and Everest. Arch. Math. 97, 141–149 (2011). https://doi.org/10.1007/s00013-011-0277-7
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DOI: https://doi.org/10.1007/s00013-011-0277-7