@misc{10498/36108,
year = {2025},
month = {4},
url = {http://hdl.handle.net/10498/36108},
abstract = {Let S be a numerical semigroup, and msg(S) its minimal system of generators. Then m(S) = min(msg(S)), M(S) = max(msg(S)), e(S), which is the cardinality of msg(S), and S (S) = M(S)
m(S)
, are called the multiplicity, comultiplicity, embedding
dimension, and elasticity of S, respectively.
Let m and M be positive integers, and let q be a rational number greater than 1.
In this paper, we will study the following sets:
• {S | S is a numerical semigroup, m(S) = m and M(S) = M},
• {S | S is a numerical semigroup, m(S) = m and S (S) ≤ q}, and
• {S | S is a numerical semigroup, e(S) = 3 and S (S) = q}.},
keywords = {numerical semigroup},
keywords = {packed numerical semigroup},
keywords = {Frobenius number},
keywords = {genus},
keywords = {multiplicity},
keywords = {comultiplicity},
keywords = {algorithm},
keywords = {Frobenius pseudo-variety},
title = {On the elasticity of a numerical semigroup.},
doi = {10.5486/PMD.2025.9910},
author = {Moreno Frías, María Ángeles and Rosales, Jose Carlos},
}