On proportionally modular numerical semigroups that are generated by arithmetic progressions

Edgar Federico Elizeche, Amitabha Tripathi

A numerical semigroup is a submonoid of ${\mathbb{Z}}_{\ge 0}$ whose complement in ${\mathbb{Z}}_{\ge 0}$ is finite. For any set of positive integers $a,b,c$, the numerical semigroup…