Arf numerical semigroups with multiplicity $11$ and $13$

Authors

HALİL İBRAHİM KARAKAŞ
SEDAT İLHAN
MERAL SÜER

DOI

10.55730/1300-0098.3172

Abstract

Parametrizations are given for Arf numerical semigroups with multiplicity up to 10. In this work, we give parametrizations of Arf numerical semigroups with multiplicity $11$ and $13$, and combining these results with previous results about the number of Arf numerical semigroups with multiplicity $2, 3, 5, 7$, we share some observations about the set of Arf numerical semigroups with prime multiplicity.

Keywords

Numerical semigroups, Arf numerical semigroups, multiplicity, conductor, Frobenius number, ratio

First Page

1446

Last Page

1458

Recommended Citation

KARAKAŞ, HALİL İBRAHİM; İLHAN, SEDAT; and SÜER, MERAL (2022) "Arf numerical semigroups with multiplicity $11$ and $13$," Turkish Journal of Mathematics: Vol. 46: No. 4, Article 25. https://doi.org/10.55730/1300-0098.3172
Available at: https://journals.tubitak.gov.tr/math/vol46/iss4/25