Browsing by Author "Ilhan, Sedat"

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    Arf numerical semigroups
    (2017) Karakas, Halil Ibrahim; Ilhan, Sedat; AAY-4394-2021
    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.
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    Arf numerical semigroups with multiplicity 11 and 13
    (2022) Karakas, Halil Ibrahim; Ilhan, Sedat; Suer, Meral; AAY-4394-2021