Ticari Bilimler Fakültesi / Faculty of Commercial Science

Permanent URI for this collectionhttps://hdl.handle.net/11727/2074

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search.filters.applied.f.rights: search.filters.rights.info:eu-repo/semantics/openAccessSubject: search.filters.subject.Numerical semigroups

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    Parametrizing numerical semigroups with multiplicity up to 5
    (2018) Karakas, H.İ.
    In this work, we give parametrizations in terms of the Kunz coordinates of numerical semigroups with multiplicity up to 5. We also obtain parametrizations of MED semigroups, symmetric and pseudo-symmetric numerical semigroups with multiplicity up to 5. These parametrizations also lead to formulas for the number of numerical semigroups, the number of MED semigroups and the number of symmetric and pseudo-symmetric numerical semigroups with multiplicity up to 5 and given conductor. © 2018 World Scientific Publishing Company.
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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.