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

Creative Commons License

KORKMAZ E.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.6, pp.2264-2271, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3267
  • 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.2264-2271
  • Keywords: Strictly partial transformation, zero-divisor graph, clique number, chromatic number
  • Çukurova University Affiliated: No

Abstract

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}.