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Investigating a claim for Russian priority in the abstract definition of a ring

✍ Scribed by Hollings, Christopher

Book ID
127145766
Publisher
Taylor and Francis Group
Year
2014
Tongue
English
Weight
130 KB
Volume
29
Category
Article
ISSN
1749-8430

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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.