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Numerical Semigroups with Monotone Apéry Set and Fixed Multiplicity and Ratio

  • Aureliano M. Robles-Pérez,
  • José Carlos Rosales

摘要

We characterise the numerical semigroups with a monotone Apéry set (MANS-semigroups for short). Moreover, we describe the families of MANS-semigroups when we fix the multiplicity and the ratio.