4 citations · 6 across the 6 of their papers we have counts for
6 papers
On the ideal of some sumset semigroups
J. I. García-García, D. Marín-Aragón, A. Vigneron-Tenorio
A sumset semigroup is a non-cancellative commutative monoid obtained from the sumset of finite non-negative integer sets. In this work, an algorithm for computing the ideals associ…
On numerical semigroups with at most 12 left elements
Shalom Eliahou, Daniel Marín-Aragón
For a numerical semigroup S N with embedding dimension e, conductor c and left part L = S [0, c -- 1], set W (S) = e|L| -- c. In 1978 Wilf asked, in equivalent t…
Union of sets of lengths of numerical semigroups
J. I. García-García, D. Marín-Aragón, A. Vigneron-Tenorio
Let be a numerical semigroup, and its set of factorizations. The set of length is denoted by ${\mathcal L}(s)=\{{\tt L}(x_1,…
The tree of numerical semigroups with low multiplicity
P. A. García-Sánchez, D. Marín-Aragón, A. M. Robles-Pérez
We show that the number of numerical semigroups with multiplicity three, four or five and fixed genus is increasing as a function in the genus. To this end we use the Kunz polytope…
Frobenius number and minimum genus of numerical semigroups with fixed multiplicity and embedding dimension
J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2
Fixed two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embeddi…
Semigroups with fixed multiplicity and embedding dimension
J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2
Given a numerical semigroup with multiplicity is called packed numerical semigroup if its minimal generating set is included in In…