Lattice automorphism and zero-divisor graphs of lattices

Ülker A.

Numerical Methods for Partial Differential Equations, cilt.39, sa.5, ss.3561-3571, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/num.22737
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3561-3571
  • Anahtar Kelimeler: automorphism, diameter, lattice, zero-divisor graph
  • İstanbul Kültür Üniversitesi Adresli: Hayır

Özet

Let ℒ be a bounded lattice and α : ℒ → ℒ be its automorphism. In this paper, we study zero-divisor graph of ℒ with respect to an automorphism α. It is a simple undirected graph and denoted by Γα(ℒ). Some combinatorial structures such as coloring, diameter and girth were given for Γα(ℒ).