Numerical semigroups bounded by a cyclic monoid
Metadatos
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Element D.O.O
Materia
AC-semigroup Cyclic monoid Diophantine inequalities Embedding dimension Frobenius number Genus MED semigroups Multiplicity Numerical semigroup PM-semigroup
Fecha
2021-08Referencia bibliográfica
Moreno-Frías, M. A., & Rosales, J. C. Numerical semigroups bounded by a cyclic monoid. J. Math. Inequal v. 15 nº3 (2021) 1219-1231 [doi:10.7153/jmi-2021-15-81]
Patrocinador
Partially supported by MTM2017-84890-P; Junta de Andalucía group FQM-298; Partially supported by MTM2017-84890-P; Junta de AndalucÍa group FQM-343Resumen
We will say that a numerical semigroup S is bounded by a cyclic monoid if there exist integer numbers 0 ≤ α < β such that S = {x ∈ ℕ | kα < x < kβ for some k ∈ ℕ}∪{0}. The goal of this work is to study this kind of numerical semigroups. In particular, we will determine important invariants of them such as multiplicity, embedding dimension, Frobenius number and genus.
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