On the Frobenius problem of numerical semigroups

Eli Leher

doi:10.1080/00927870802254819

On the Frobenius problem of numerical semigroups

Eli Leher^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	639-649
Number of pages	11
Journal	Communications in Algebra
Volume	37
Issue number	2
DOIs	https://doi.org/10.1080/00927870802254819
State	Published - Feb 2009

Keywords

Frobenius number
Genus
Hilbert function
Numerical semigroups
The diophantine Frobenius problem

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10.1080/00927870802254819

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KW - The diophantine Frobenius problem

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On the Frobenius problem of numerical semigroups

Abstract

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