RT journal article
T1 On the elasticity of a numerical semigroup.
A1 Moreno Frías, María Ángeles
A1 Rosales, Jose Carlos
A2 Matemáticas
K1 numerical semigroup
K1 packed numerical semigroup
K1 Frobenius number
K1 genus
K1 multiplicity
K1 comultiplicity
K1 algorithm
K1 Frobenius pseudo-variety
AB 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, embeddingdimension, 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}.
SN 0033 - 3883
YR 2025
FD 2025-04-04
LK http://hdl.handle.net/10498/36108
UL http://hdl.handle.net/10498/36108
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026