Numerical semigroups bounded by the translation of a plane monoid
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Springer
Materia
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
Date
2021-08-09Referencia bibliográfica
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]
Sponsorship
Junta de Andalucia; MTM2017-84890-PAbstract
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.
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