Characterization and commuting probability of n-centralizer finite rings

Abstract 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.

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Bibliographic Details
Main Authors: Dutta,Jutirekha, Basnet,Dhiren Kumar, Nath,Rajat Kanti
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2023
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000601489
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