Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators |
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| Authors: | Pedro A. García-Sánchez José C. Rosales |
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| Affiliation: | (1) Departamento de álgebra, Universidad de Granada, ES-18071 Granada, Spain;(2) Departamento de álgebra, Universidad de Granada, ES-18071 Granada, Spain |
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| Abstract: | Letg be a positive integer. We prove that there are positive integersn 1,n 2,n 3 andn 4 such that the semigroupS=(n 1,n 2,n 3,n 4) is an irreducible (symmetric or pseudosymmetric) numerical semigroup with g(S)=g. This work has been supported by the project BFM2000-1469. |
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