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October 2004 Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators
Pedro A. García-Sánchez, José C. Rosales
Author Affiliations +
Ark. Mat. 42(2): 301-306 (October 2004). DOI: 10.1007/BF02385481

Abstract

Letg be a positive integer. We prove that there are positive integers n1, n2, n3 and n4 such that the semigroup S=(n1, n2, n3, n4) is an irreducible (symmetric or pseudosymmetric) numerical semigroup with g(S)=g.

Funding Statement

This work has been supported by the project BFM2000-1469.

Citation

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Pedro A. García-Sánchez. José C. Rosales. "Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators." Ark. Mat. 42 (2) 301 - 306, October 2004. https://doi.org/10.1007/BF02385481

Information

Received: 11 February 2003; Published: October 2004
First available in Project Euclid: 31 January 2017

zbMATH: 1059.20059
MathSciNet: MR2101389
Digital Object Identifier: 10.1007/BF02385481

Rights: 2004 © Institut Mittag-Leffler

Vol.42 • No. 2 • October 2004
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