On Partitions and Arf Semigroups

Creative Commons License

TUTAŞ N.

OPEN MATHEMATICS, cilt.17, ss.343-355, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/math-2019-0025
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.343-355
  • Anahtar Kelimeler: Arf numerical semigroup, Young diagram, partition, Arf partition, NUMERICAL SEMIGROUPS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study we examine some combinatorial properties of the Arf semigroup. In previous work, the author and Karakas, Gumusbas defined an Arf partition of a positive integer n. Here, we continue this work and give new results on Arf partitions. In particular, we analyze the relation among an Arf partition, its Young dual diagram, and the corresponding rational Young diagram. Additionally, this study contains some results that present the relations between partitions and Arf semigroup polynomials.