RT journal article
T1 Numerical semigroups bounded by the translation of a plane monoid
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 A-Semigroup
K1 A (p, q)-semigroup
K1 A (p, q)-monoid
K1 ACsemigroup
K1 Plane monoid
K1 Cyclic monoid
K1 Frobenius pseudo-variety
K1 Frobenius number
K1 Genus
K1 Multiplicity
AB Let N be the set of nonnegative integer numbers. A plane monoid is a submonoid of (N-2, +). Let M be a plane monoid and p, q is an element of N. We will say that an integer number n is M(p, q)- bounded if there is (a, b) is an element of M such that a + p <= n <= b - q. We will denote by A(M(p, q)) = {n is an element of N | n is M(p, q)-bounded}. An A( p, q)-semigroup is a numerical semigroup S such that S = A(M(p, q)) boolean OR {0} for some plane monoid M. In this work we will study these kinds of numerical semigroups.
PB SPRINGER BASEL AG
SN 0001-9054
YR 2021
FD 2021-08
LK http://hdl.handle.net/10498/25344
UL http://hdl.handle.net/10498/25344
LA eng
NO M. A. Moreno-Frias: Partially supported by MTM2017-84890-P and by Junta de Andalucia group FQM-298. J. C. Rosales: Partially supported by MTM2017-84890-P and by Junta de Andalucia group FQM-343.
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026