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On Diophantine sets over polynomial rings
Author(s):
Karim
Zahidi
Journal:
Proc. Amer. Math. Soc.
128
(2000),
877-884.
MSC (1991):
Primary 03D20;
Secondary 11U05, 12L05
Posted:
July 6, 1999
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Abstract:
We prove that the recursively enumerable relations over a polynomial ring , where is the ring of integers in a totally real number field, are exactly the Diophantine relations over .
References:
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Additional Information:
Karim
Zahidi
Affiliation:
Universiteit Gent, Vakgroep Kwantitatieve Technieken, Hoveniersberg 4, B-9000 Gent, Belgium
Address at time of publication:
Department of Applied Mathematics and Computer Science, Krijgslaan 281, sg, B-9000 Gent, Belgium
Email:
Karim.Zahidi@rug.ac.be
DOI:
10.1090/S0002-9939-99-05179-5
PII:
S 0002-9939(99)05179-5
Received by editor(s):
September 16, 1997
Received by editor(s) in revised form:
April 22, 1998
Posted:
July 6, 1999
Additional Notes:
The author would like to thank Professor J. Van Geel for his help during the preparation of this work.
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
1999,
American Mathematical Society
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