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The Frobenius problem for numerical semigroups |
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| Authors: | J.C. Rosales M.B. Branco |
| Affiliation: | a Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain b Departamento de Matemática, Universidade de Évora, 7000 Évora, Portugal |
| 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. |
| Keywords: | 11D07 20M14 |
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