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    Decidability of the theory of modules over commutative valuation domains.Gennadi Puninski, Vera Puninskaya & Carlo Toffalori - 2007 - Annals of Pure and Applied Logic 145 (3):258-275.
    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.
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  2. Cantor-bendixson rank of the Ziegler spectrum over a commutative valuation domain.Gennadi Puninski - 1999 - Journal of Symbolic Logic 64 (4):1512-1518.
    We calculate the Cantor-Bendixson rank of the Ziegler spectrum over a commutative valuation domain R proving that it is equal to the double Krull dimension of R.
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