Ticari Bilimler Fakültesi / Faculty of Commercial Science

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

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Subject: search.filters.subject.Arf semigroup

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    A decomposition of partitions and numerical sets
    (2020) Karakas, Halil Ibrahim; Tutas, Nesrin; C-2807-2016
    The aim of this work is to exhibit a decomposition of partitions of natural numbers and numerical sets. In particular, we obtain a decomposition of a sparse numerical set into the so called hook semigroups which turn out to be primitive. Since each Arf semigroup is sparse, we thus obtain a decomposition of any Arf semigroup into primitive numerical semigroups.
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    Young tableaux and Arf partitions
    (2019) Tutas, Nesrin; Karakas, Halil İbrahim; Gumusbas, Nihal
    The aim of this work is to exhibit some relations between partitions of natural numbers and Arf semigroups. We also give characterizations of Arf semigroups via the hook-sets of Young tableaux of partitions.