On the embedding of ideals in some one-dimensional local rings (Q1106272)

Let R be a one-dimensional local Noetherian domain having maximal ideal M and integral closure S which is a finitely generated R-module. The main purpose of the paper is to prove that each non-zero ideal of R contains almost all ideals of R if and only if S is a discrete valuation ring and either R/M is finite or \(R=S\). The study was motivated by computations of the local zeta functions of non-maximal orders in number-fields and function-fields.