Arf numerical semigroups

Authors

SEDAT İLHAN
HALİL İBRAHİM KARAKAŞ

DOI

10.3906/mat-1512-46

Abstract

The aim of this work is to exhibit the relationship between the Arf closure of a numerical semigroup$S$ and its Lipman semigroup $L(S).$ This relationship is then used to give direct proofs of some characterizations of Arf numerical semigroups through their Lipman sequences of semigroups. We also give an algorithmic construction of the Arf closure of a numerical semigroup via its Lipman sequence of semigroups.

Keywords

Numerical semigroups, Arf numerical semigroups, Arf closure

First Page

1448

Last Page

1457

Recommended Citation

İLHAN, SEDAT and KARAKAŞ, HALİL İBRAHİM (2017) "Arf numerical semigroups," Turkish Journal of Mathematics: Vol. 41: No. 6, Article 7. https://doi.org/10.3906/mat-1512-46
Available at: https://journals.tubitak.gov.tr/math/vol41/iss6/7