Numerical semigroups bounded by a cyclic monoid

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URI: http://hdl.handle.net/10481/71047
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Author
Moreno Frías, María Ángeles; Rosales González, José Carlos
Editorial
Element D.O.O
Materia
AC-semigroup
 
Cyclic monoid
 
Diophantine inequalities
 
Embedding dimension
 
Frobenius number
 
Genus
 
MED semigroups
 
Multiplicity
 
Numerical semigroup
 
PM-semigroup
 
Date
2021-08
Referencia 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]
Sponsorship
Partially supported by MTM2017-84890-P; Junta de Andalucía group FQM-298; Partially supported by MTM2017-84890-P; Junta de AndalucÍa group FQM-343
Abstract
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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Atribución-NoComercial 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial 3.0 España