Perfect numerical semigroups with embedding dimension three

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URI: http://hdl.handle.net/10498/24618

DOI: 10.5486/PMD.2020.8699

ISSN: 0033-3883

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Author/s
Moreno Frías, María ÁngelesAuthority UCA; Rosales, José Carlos
Date
2020
Department
Matemáticas
Source
Publ. Math. Debrecen 97/1-2 (2020), 77{84
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.
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