@misc{10498/25888, year = {2021}, month = {9}, url = {http://hdl.handle.net/10498/25888}, abstract = {We will say that a numerical semigroup S is bounded by a cyclic monoid if there exist integer numbers 0 <= alpha < ss such that S = {x epsilon N vertical bar k alpha < x < k beta for some k epsilon N} boolean OR {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 = {The first author was partially supported by MTM2017-84890-P and by Junta de Andaluc ' ia group FQM-298. The second author was partially supported by MTM2017-84890-P and by Junta de Andaluc ' ia group FQM-343.}, publisher = {ELEMENT}, keywords = {AC -semigroup}, keywords = {cyclic monoid}, keywords = {diophantine inequality}, keywords = {embedding dimension}, keywords = {Frobenius number}, keywords = {genus}, keywords = {MED-semigroup}, 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, José Carlos}, }