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The Insolubility of Sets of Diophantine Equations in the Rational Numbers

✍ Scribed by Nesmith C. Ankeny

Book ID
123670116
Publisher
National Academy of Sciences
Year
1952
Tongue
English
Weight
179 KB
Volume
38
Category
Article
ISSN
0027-8424

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πŸ“œ SIMILAR VOLUMES

A diophantine definition of integers in
A diophantine definition of integers in the rings of rational numbers
✍ Alexandra Shlapentokh πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 568 KB

## Abstract The author considers rings of rational numbers which are integral at all the primes except, possibly, primes contained in a finite set. In such rings a Diophantine definition of β„€ is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.