Numerical semigroups bounded by the translation of a plane monoid Moreno Frías, María Ángeles Rosales González, José Carlos Numerical semigroup A-Semigroup A (p, q)-semigroup A (p, q)-monoid AC-semigroup Plane monoid Cyclic monoid Frobenius pseudo-variety Frobenius number Genus Multiplicity 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. 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. 2021-09-29T12:35:36Z 2021-09-29T12:35:36Z 2021-08-09 journal article Moreno-Frías, M.A., Rosales, J.C. Numerical semigroups bounded by the translation of a plane monoid. Aequat. Math. 95, 915–929 (2021). [https://doi.org/10.1007/s00010-021-00837-3] http://hdl.handle.net/10481/70534 10.1007/s00010-021-00837-3 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Springer