On the Frobenius problem of numerical semigroups

Eli Leher*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)639-649
Number of pages11
JournalCommunications in Algebra
Issue number2
StatePublished - Feb 2009


  • Frobenius number
  • Genus
  • Hilbert function
  • Numerical semigroups
  • The diophantine Frobenius problem


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