This book is an extended and revised version of" Numerical Semigroups with Applications,"
published by Springer as part of the RSME series. Like the first edition, it presents …

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 …

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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 …

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 introduce the concept of homogeneous numerical semigroups and show that all
homogeneous numerical semigroups with Cohen–Macaulay tangent cones are of …

We consider several classes of complete intersection numerical semigroups, arising from
many different contexts like algebraic geometry, commutative algebra, coding theory and …

We study arithmetic properties of tangent cones associated to large families of monomial
curves obtained by gluing. In particular, we characterize their Cohen-Macaulay and …

We introduce the concept of isolated factorizations of an element of a commutative monoid
and study its properties. We give several bounds for the number of isolated factorizations of …

In this paper we study the Weak Lefschetz property of two classes of standard graded
Artinian Gorenstein algebras associated in a natural way to the Apéry set of numerical …