Diophantine undecidability for addition and divisibility in polynomial rings
Thanases Pheidas
Fundamenta Mathematicae, Tome 184 (2004), p. 205-220 / Harvested from The Polish Digital Mathematics Library
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We prove that the positive-existential theory of addition and divisibility in a ring of polynomials in two variables A[t₁,t₂] over an integral domain A is undecidable and that the universal-existential theory of A[t₁] is undecidable.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:283209 
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     year = {2004},
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Thanases Pheidas. Diophantine undecidability for addition and divisibility in polynomial rings. Fundamenta Mathematicae, Tome 184 (2004) pp. 205-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm182-3-2/