numericalsgps, a GAP package for numerical semigroups Page 1 ACM Communications in
Computer Algebra, Vol. 50, No. 1, Issue 195, March 2016 numericalsgps, a GAP package for …

A numerical semigroup is a subset of the set N of nonnegative integers that is closed under
addition, contains 0 and whose complement in N is finite. The smallest positive integer …

Let (R, m) be the semigroup ring associated to a numerical semigroup S. In this paper we
study the property of its associated graded ring grm (R) to be Complete Intersection. In …

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 …

Given a numerical semigroup S=< a 0, a 1, a 2,…, at> and n∈ S, we consider the
factorization n= c 0 a 0+ c 1 a 1+⋯+ ctat where ci≥ 0. Such a factorization is maximal if∑ ci …

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 …

Abstract Characterizations for the Cohen–Macaulayness, Gorensteiness and complete
intersection of extensions of tangent cones of monomial curves are given in terms of basis …

Let R= k [H] be a numerical semigroup ring over a field k and gr m (R) is the associated
graded ring of R. In this paper, we show that gr m (R) is a Cohen-Macaulay ring, provided H …

Let Λ be a numerical semigroup, C⊆A^n the monomial curve singularity associated to Λ,
and T its tangent cone. In this paper we provide a sharp upper bound for the least positive …

numericalsgps, a GAP package for numerical semigroups Page 1 ACM Communications in
Computer Algebra, TBA TBA numericalsgps, a GAP package for numerical semigroups M …