RT journal article
T1 Numerical Semigroups with a Given Frobenius Number and Some Fixed Gaps
A1 Moreno Frías, María Ángeles
A1 Rosales, Jose Carlos
A2 Matemáticas
K1 Frobenius number
K1 gap
K1 multiplicity
K1 algorithm
K1 covariety
K1 irreducible element
K1 R variety
AB If P is a nonempty finite subset of positive integers, then (Formula presented.) In this work, we prove that (Formula presented.) is a covariety; therefore, we can arrange the elements of (Formula presented.) in the form of a tree. This fact allows us to present several algorithms, including one that calculates all the elements of (Formula presented.), another that obtains its maximal elements (with respect to the set inclusion order) and one more that computes the elements of (Formula presented.) that cannot be expressed as an intersection of two elements of (Formula presented.) that properly contain it.
PB MDPI
SN 2227-7390
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36719
UL http://hdl.handle.net/10498/36719
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026