Parametrizing Arf numerical semigroups

P. A. García-Sánchez, B. A. Heredia, H. Karakaş, J. C. Rosales

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

Original languageEnglish
Article number1750209
Number of pages31
JournalJOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume16
Issue number11
DOIs
Publication statusAccepted/In press - 2017

Keywords

  • Arf
  • Frobenius number
  • genus
  • integer partition
  • Kunz coordinates
  • multiplicity
  • Numerical semigroup

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