z-logo
Premium
A diophantine definition of integers in the rings of rational numbers
Author(s) -
Shlapentokh Alexandra
Publication year - 1991
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160440706
Subject(s) - diophantine equation , mathematics , diophantine set , ring (chemistry) , diophantine geometry , discrete mathematics , recursively enumerable language , set (abstract data type) , maximal set , rational number , pure mathematics , computer science , chemistry , organic chemistry , programming language
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 ℤ is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here