A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect
to a generator, using Groebner bases, is presented, together with a generalization for affine …

We study monomial curves, toric ideals and monomial algebras associated to 4-generated
pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of …

In this paper, we use the Apéry table of the numerical semigroup associated to an affine
monomial curve in order to characterize arithmetic properties and invariants of its tangent …

In this paper we describe the structure of the tangent cone of a numerical semigroup ring A=
k [[S]]⊆ k [[t]] with multiplicity e (as a module over the Noether normalization determined by …

In this paper, we use the Ap\'ery table of the numerical semigroup associated to an affine
monomial curve in order to characterize arithmetic properties and invariants of its tangent …

We study an operation, that we call lifting, creating nonisomorphic monomial curves from a
single monomial curve. Our main result says that all but finitely many liftings of a monomial …

Lance Bryant noticed in his thesis (Bryant, 2009 [3]), that there was a flaw in our paper
(Barucci and Fröberg, 2006 [2]). It can be fixed by adding a condition, called the BF condition …

In this thesis, our main objects of interest are the minimal free resolutions of the tangent
cones of complete intersection monomial curves in affine 4-space. By using the technique of …

Bu tezde nümerik yarıgrupların düzenlilik indekslerinin nasıl değiştiğini çalıştık. Bir
yarıgrubun düzenlilik indeksi, karşılık gelen yerel halkanın Hilbert fonksiyonunun …

En esta tesis trata básicamente, de en primer lugar establecer una relación entre bases de
Groebner y semigrupos numéricos y en segundo lugar utilizar dicha relación para obtener …