@misc{10481/70534,
year = {2021},
month = {8},
url = {http://hdl.handle.net/10481/70534},
abstract = {Let N be the set of nonnegative integer numbers. A plane monoid is a submonoid
of (N2, +). Let M be a plane monoid and p, q ∈ N. We will say that an integer number
n is M(p, q)-bounded if there is (a, b) ∈ M such that a + p ≤ n ≤ b − q. We will denote
by A(M(p, q)) = {n ∈ N | n is M(p, q)-bounded}. An A(p, q)-semigroup is a numerical
semigroup S such that S = A(M(p, q))∪{0} for some plane monoid M. In this work we will
study these kinds of numerical semigroups.},
organization = {Junta de Andalucia},
organization = {MTM2017-84890-P},
publisher = {Springer},
keywords = {Numerical semigroup},
keywords = {A-Semigroup},
keywords = {A (p, q)-semigroup},
keywords = {A (p, q)-monoid},
keywords = {AC-semigroup},
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 González, José Carlos},
}