Characterization and commuting probability of n-centralizer finite rings

• Dutta, Jutirekha ^[1] ; Basnet, Dhiren Kumar ^[1] ; Nath, Rajat Kanti ^[1]
  1. [1] Tezpur University

     Tezpur University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1489-1498
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Let R be a finite ring. The commuting probability of R is the probability that any two randomly chosen elements of R commute. A ring R is called an n-centralizer ring if it has n distinct centralizers. In this paper, we characterize some n-centralizer finite rings and compute their commuting probabilities.