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 …

Denote by m (S) the multiplicity of a numerical semigroup S. A covariety is a nonempty family
C of numerical semigroups that fulfils the following conditions: there is the minimum of C, the …

We present two families of numerical semigroups and show that for each family, the number
of required components in an irreducible decomposition cannot be bounded by any given …

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 …

The nth cyclotomic polynomial Φ n (x) is the minimal polynomial of an nth primitive root of
unity. Its coefficients are the subject of intensive study and some formulas are known for …

Numerical semigroups have been extensively studied throughout the literature, and many of
their invariants have been characterized. In this work, we generalize some of the most …

We study the structure of the family of numerical semigroups with fixed multiplicity and
Frobenius number. We give an algorithmic method to compute all the semigroups in this …

In this paper we present a new approach to construct the set of numerical semigroups with a
fixed genus. Our methodology is based on the construction of the set of numerical …

In this paper, we present an efficient algorithm to compute the whole set of numerical
semigroups with a given Frobenius number F. The methodology is based on the …

A numerical semigroup is a sub-monoid of the natural numbers under addition that has a
finite complement. The size of its complement is called the genus and the largest number in …