MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 7

Preprint Number 7

Previous Next Preprint server


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

Submission date: 1 February 2006

Abstract:

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

Full text: pdf, dvi, ps.


Last updated: November 16 2006 18:26 Please send your corrections to: