RT journal article
T1 The Set of Numerical Semigroups with Frobenius Number Belonging to a Fixed Interval
A1 Moreno Frías, María Ángeles
A1 Rosales, Jose Carlos
A2 Matemáticas
K1 algorithm
K1 complexity
K1 covariety
K1 Frobenius number
K1 multiplicity
K1 ratio-covariety
AB Let a and b be positive integers such that (Formula presented.) and (Formula presented.) In this work, we will show that (Formula presented.) is a numerical semigroup whose Frobenius number belongs to (Formula presented.) and is a covariety. This fact allows us to present an algorithm which computes all the elements from (Formula presented.) We will prove that (Formula presented.) has multiplicity (Formula presented.) and is a ratio-covariety. As a consequence, we will show an algorithm which calculates all the elements belonging to (Formula presented.) Based on the above results, we will develop an interesting algorithm that calculates all numerical semigroups with a given multiplicity and complexity.
PB Multidisciplinary Digital Publishing Institute (MDPI)
SN 2227-7390
YR 2025
FD 2025-08
LK http://hdl.handle.net/10498/38013
UL http://hdl.handle.net/10498/38013
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026