Young tableaux and Arf partitions

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TUTAŞ N., Karakas H. I., Gumusbas N.

TURKISH JOURNAL OF MATHEMATICS, vol.43, no.1, pp.448-459, 2019 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1807-181
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.448-459
  • Keywords: Partition, Young tableau, numerical set, numerical semigroup, Arf semigroup, Arf closure, NUMERICAL SEMIGROUPS
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

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.