Characterization and commuting probability of n-centralizer finite rings

Author:

Dutta JutirekhaORCID,Basnet Dhiren KumarORCID,Nath Rajat Kanti

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.

Publisher

Universidad Catolica del Norte - Chile

Subject

General Mathematics

Reference32 articles.

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