On the extended zero-divisor graph of strictly partial transformation semigroup

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KORKMAZ E.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.6, ss.2264-2271, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3267
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2264-2271
  • Anahtar Kelimeler: Strictly partial transformation, zero-divisor graph, clique number, chromatic number
  • Çukurova Üniversitesi Adresli: Hayır

Özet

Given a commutative ring R, the zero-divisor graph of R is an undirected simple graph with vertices the nonzero zero-divisors of R, and two distinct vertices x and y are adjacent if and only if xy = 0. In [8], Redmond presented different versions of zero-divisor graphs of noncommutative rings. The main aim of this paper is to analyse these graphs for the semigroup SPn of all strictly partial transformations on the set X-n = {1, 2,..., n}.