@misc{10481/71047, year = {2021}, month = {8}, url = {http://hdl.handle.net/10481/71047}, 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.}, organization = {Partially supported by MTM2017-84890-P}, organization = {Junta de Andalucía group FQM-298}, organization = {Partially supported by MTM2017-84890-P}, organization = {Junta de AndalucÍa group FQM-343}, publisher = {Element D.O.O}, keywords = {AC-semigroup}, keywords = {Cyclic monoid}, keywords = {Diophantine inequalities}, keywords = {Embedding dimension}, keywords = {Frobenius number}, keywords = {Genus}, keywords = {MED semigroups}, keywords = {Multiplicity}, keywords = {Numerical semigroup}, keywords = {PM-semigroup}, title = {Numerical semigroups bounded by a cyclic monoid}, doi = {10.7153/jmi-2021-15-81}, author = {Moreno Frías, María Ángeles and Rosales González, José Carlos}, }