%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, Jose Carlos
%T On the elasticity of a numerical semigroup.
%D 2025
%@ 0033 - 3883

%U http://hdl.handle.net/10498/36108
%X 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}.
%K numerical semigroup
%K packed numerical semigroup
%K Frobenius number
%K genus
%K multiplicity
%K comultiplicity
%K algorithm
%K Frobenius pseudo-variety
%~ Universidad de Cádiz