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arXiv · 1605.03900

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.

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BibTeXRIS

Aureliano M. Robles-Pérez, José Carlos Rosales. 2016-05-12. Numerical semigroups in a problem about economic incentives for consumers. https://doi.org/10.2298/fil1810667r

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