Embedding the set of nondivisorial ideals of a numerical semigroup into ℕn

Abstract

The set [Formula: see text] of the classes of nondivisorial ideals of a numerical semigroup [Formula: see text] can be endowed with a natural partial order induced by the set of star operations on [Formula: see text]. We study embeddings of [Formula: see text] into [Formula: see text], specializing on three families of numerical semigroups with radically different behavior.