Browsing by Author "Tutas, Nesrin"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    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.
  • No Thumbnail Available
    Item
    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.