2020/97/1-2 (5)
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DOI: 10.5486/PMD.2020.8699
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pp. 77-84
Perfect numerical semigroups with embedding dimension three
Abstract:
A numerical semigroup is perfect if it has no isolated gaps. In this paper, we will characterize the perfect numerical semigroups with embedding dimension three, and we show how to obtain them all. Also, we obtain formulas for each of the genus and the pseudo-Frobenius numbers of these semigroups.
Keywords: embedding dimension, Frobenius number, genus, numerical semigroup, perfect numerical semigroup, pseudo-Frobenius numbers
Mathematics Subject Classification: 20M14, 11D07