@misc{10498/25344,
year = {2021},
month = {8},
url = {http://hdl.handle.net/10498/25344},
abstract = {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.},
organization = {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.},
publisher = {SPRINGER BASEL AG},
keywords = {Numerical semigroup},
keywords = {A-Semigroup},
keywords = {A (p, q)-semigroup},
keywords = {A (p, q)-monoid},
keywords = {ACsemigroup},
keywords = {Plane monoid},
keywords = {Cyclic monoid},
keywords = {Frobenius pseudo-variety},
keywords = {Frobenius number},
keywords = {Genus},
keywords = {Multiplicity},
title = {Numerical semigroups bounded by the translation of a plane monoid},
doi = {10.1007/s00010-021-00837-3},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}