Open AccessPerfect numerical semigroups with embedding dimension three
Author(s) -
M. A. Moreno-Frías,
J. C. Rosales
Publication year - 2020
Publication title -
publicationes mathematicae debrecen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.468
H-Index - 37
eISSN - 2064-2849
pISSN - 0033-3883
DOI - 10.5486/pmd.2020.8699
Subject(s) - mathematics , embedding , dimension (graph theory) , pure mathematics , algebra over a field , discrete mathematics , artificial intelligence , computer science
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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