Numerical semigroups bounded by a cyclic monoid

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.