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Preprint Number 7

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7. G. Puninski - V. Puninskaya - C. Toffalori
Decidability of the theory of modules over commutative valuation domains

Submission date: 1 February 2006


We prove that, if V is an effectively given commutative valuation domain such that its value group is dense and archimedean, then the theory of all V-modules is decidable.

Mathematics Subject Classification: 03C60, 03B25, 13L05, 13A18, 13C11

Keywords and phrases: commutative valuation domain, decidability, Ziegler spectrum

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