Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio Robles Pérez, Aureliano M. Rosales González, Joisé Carlos Numerical semigroup Multiplicity Ratio Frobenius number Monotone Apéry set Suitably monotone element We characterise the numerical semigroups with a monotone Apéry set (MANSsemigroups for short). Moreover, we describe the families ofMANS-semigroups when we fix the multiplicity and the ratio. 2024-03-18T07:38:00Z 2024-03-18T07:38:00Z 2024-06 journal article A.M. Robles-Pérez and J.C. Rosales, Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio. Bull. Braz. Math. Soc. (N.S.) 55(2) (2024), Article No. 13. https://doi.org/10.1007/s00574-024-00387-7 https://hdl.handle.net/10481/90041 10.1007/s00574-024-00387-7 eng http://creativecommons.org/licenses/by-sa/4.0/ open access Atribución-CompartirIgual 4.0 Internacional Springer