Almost symmetric Arf partitions

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GÜMÜŞBAŞ ÖZTÜRK N., TUTAŞ N., ER N.

TURKISH JOURNAL OF MATHEMATICS, vol.44, no.6, pp.2185-2198, 2020 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 44 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3906/mat-2003-74
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2185-2198
  • Keywords: Numerical semigroup, Arf semigroup, partition, Arf partition, almost symmetric Arf partition, NUMERICAL SEMIGROUPS
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we introduce almost symmetric Arf partitions (for short, ASA-partitions) and using properties of partitions of positive integers, we give the number of almost symmetric Arf semigroups of genus g.