Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/5892

Title: The Frobenius problem for numerical semigroups
Authors: Rosales, J.C
Branco, M.B.
Keywords: Numerical semigroup;
Frobenius number
Genus
Issue Date: Dec-2011
Publisher: Elsevier
Citation: Rosales, J. C.; Branco, M. B. The Frobenius problem for numerical semigroups. J. Number Theory 131 (2011), no. 12, 2310–2319.
Abstract: In this paper, we characterize those numerical semigroups containing 〈n1,n2〉. From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.
URI: http://hdl.handle.net/10174/5892
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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