Decidability of the theory of modules over commutative valuation domains

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.

• Type: Journal
• Year: 2007
• Where: APAL
• Authors: Gennadi Puninski, Vera Puninskaya, Carlo Toffalori
• Keywords: APAL 2007, Commutative Valuation, Value Group