Numerical semigroups in a problem about economic incentives for consumers

Abstract

Motivated by a promotion to increase the number of musical downloads, we introduce the concept of $C$-incentive and show an algorithm that compute the smallest $C$-incentive containing a subset $X\subseteq \mathbb{N}$. On the other hand, in order to study $C$-incentives, we see that we can focus on numerical $C$-incentives. Then, we establish that the set formed by all numerical $C$-incentives is a Frobenius pseudo-variety and we show an algorithmic process to recurrently build such a pseudo-variety.

References in corpus (2)

• Patterns on Numerical Semigroups
• On a transport problem and monoids of non-negative integers