This paper studies Young diagrams of symmetric and pseudo-symmetric numerical
semigroups and describes new operations on Young diagrams as well as numerical …

Symmetric numerical semigroups are probably the numerical semigroups that have been
most studied in the literature. The motivation and introduction of these semigroups is due …

This paper is a survey including some announcements of our results and the detailed
version will be submitted to somewhere else. Also, this is a continuation of our survey article …

This survey presents recent results on minimal free resolutions of numerical semigroup
rings. We focus on two classes of numerical semigroups where the resolution is explicitly …

We collect some open problems about minimal presentations of numerical semigroups and,
more generally, about defining ideals and free resolutions of their semigroup rings and …

We aim to classify the star and semistar operations on conductive numerical semigroup
rings which are of the form k+ xnk [[x]]. By classifying the star and semistar operations on …

This paper is focused on numerical semigroups and presents a simple construction, that we
call “dilatation”, which, from a starting semigroup S, permits to get an infinite family of …

We study almost symmetric numerical semigroups and semigroup rings. We describe a
characteristic property of the minimal free resolution of the semigroup ring of an almost …

In this work, we give parametrizations in terms of the Kunz coordinates of numerical
semigroups with multiplicity up to 5. We also obtain parametrizations of MED semigroups …

We study almost symmetric semigroups generated by odd integers. If the embedding
dimension is four, we characterize when a symmetric semigroup that is not complete …