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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Undecidable existential problems for addition and divisibility in algebraic number rings. II


Author: Leonard Lipshitz
Journal: Proc. Amer. Math. Soc. 64 (1977), 122-128
MSC: Primary 02E10; Secondary 02G05, 10N10
MathSciNet review: 0536659
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Abstract: It is shown that for all algebraic number rings, except imaginary quadratic ones, the problem of deciding existential formulas involving only addition and the divisibility predicate is equivalent to the full diophantine problem for these rings.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0536659-5
PII: S 0002-9939(1977)0536659-5
Article copyright: © Copyright 1977 American Mathematical Society