Geodesic
Diophantine undecidability for addition and divisibility in polynomial rings
Thanases Pheidas1
1 Department of Mathematics University of Crete 71409 Heraklion, Greece
Fundamenta Mathematicae, Tome 182 (2004) no. 3, pp. 205-220.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that the positive-existential theory of addition and divisibility in a ring of polynomials in two variables $A[t_1,t_2 ]$ over an integral domain $A$ is undecidable and that the universal-existential theory of $A[t_1]$ is undecidable.
DOI : 10.4064/fm182-3-2
Keywords: prove positive existential theory addition divisibility ring polynomials variables integral domain undecidable universal existential theory undecidable

Thanases Pheidas 1

1 Department of Mathematics University of Crete 71409 Heraklion, Greece 
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Thanases Pheidas. Diophantine undecidability for addition and divisibility in
polynomial rings. Fundamenta Mathematicae, Tome 182 (2004) no. 3, pp. 205-220. doi : 10.4064/fm182-3-2. http://geodesic.mathdoc.fr/articles/10.4064/fm182-3-2/

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