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A diophantine definition of integers in the rings of rational numbers

โœ Scribed by Alexandra Shlapentokh

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
568 KB
Volume
44
Category
Article
ISSN
0010-3640

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โœฆ Synopsis

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 โ„ค is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.

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