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Communications in Algebra Volume 37, 2009 - Issue 2
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Original Articles

On the Frobenius Problem of Numerical Semigroups

Eli Leher School of Mathematics, Tel-Aviv University, Tel-Aviv, IsraelCorrespondence[email protected] ; [email protected]
Pages 639-649 | Received 27 Apr 2007, Published online: 09 Feb 2009
 
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Abstract

We define the minimal transversal of a numerical semigroup with respect to one of its elements and use it to calculate the Frobenius number, genus, and the Hilbert function of the semigroup. We give various examples for the use of this method.

2000 Mathematics Subject Classification:

Notes

Communicated by A. K. Singh.

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