The simple modules of the ore extensions with coefficients from a dedekind ring

摘要

LetDbe a commutative Dedekind domain,D, and let #x3B4; be a #x3C3;-derivation ofD, i.e.be an Ore extension, i.e. a ring generated byDandXsubject to the relations:. The aim of the paper is to classify the simpleA- modules (up to irreducible elements of certain Euclidean rings).