Numerical semigroups bounded by a cyclic monoid Moreno Frías, María Ángeles Rosales González, José Carlos AC-semigroup Cyclic monoid Diophantine inequalities Embedding dimension Frobenius number Genus MED semigroups Multiplicity Numerical semigroup PM-semigroup 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. 2021-10-22T09:44:38Z 2021-10-22T09:44:38Z 2021-08 info:eu-repo/semantics/article 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] http://hdl.handle.net/10481/71047 10.7153/jmi-2021-15-81 eng http://creativecommons.org/licenses/by-nc/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial 3.0 España Element D.O.O