%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, José Carlos
%T Numerical semigroups bounded by the translation of a plane monoid
%D 2021
%@ 0001-9054

%U http://hdl.handle.net/10498/25344
%X 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.
%K Numerical semigroup
%K A-Semigroup
%K A (p, q)-semigroup
%K A (p, q)-monoid
%K ACsemigroup
%K Plane monoid
%K Cyclic monoid
%K Frobenius pseudo-variety
%K Frobenius number
%K Genus
%K Multiplicity
%~ Universidad de Cádiz