During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he
following problem, known as the Frobenius Problem (FP): given relatively prime positive …

There is a lack of effective methods for studying properties of finitely generated commutative
monoids. This was one of the main reasons for developing a self-contained book on finitely …

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 …

Numerical semigroups that can be expressed as an intersection of symmetric numerical
semigroups Communicated by M.-F. Roy - ScienceDirect Skip to main contentSkip to article …

A one-to-one correspondence is described between the set of numerical semigroups with
multiplicity and the set of non-negative integer solutions of a system of linear Diophantine …

We introduce the concept of fundamental gap of a numerical semigroup. We give lower and
upper bounds for the number of fundamental gaps of a numerical semigroup in terms of its …

Numerical Semigroups Page 1 JC Rosales PA García-Sánchez DEVELOPMENTS IN
MATHEMATICS 20 Numerical Semigroups Page 2 NUMERICAL SEMIGROUPS Page 3 …

A numerical semigroup is a subset S of closed under addition, containing the identity
element of and generating as a group (here denotes the set of nonnegative integers and the …

We give arithmetic characterizations which allow us to determine algorithmically when the
semigroup ring associated to a simplicial affine semigroup is Cohen-Macaulay and/or …

Principal ideals of numerical semigroups Page 1 Principal ideals of numerical semigroups ∗
JC Rosales Abstract We study numerical semigroups of the form (x+S)∪{0} with S a numerical …