Commuting probabilities of n-centralizer finite rings

2018/03/12 by Dutta, Jutirekha, Basnet, Dhiren Kumar, Nath, Rajat Kanti
#16U70 #16U80 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1803.04111

Abstract

Let R be a finite ring. The commuting probability of R, denoted by Pr(R), is the probability that any two randomly chosen elements of R commute. R is called an n-centralizer ring if it has n distinct centralizers. In this paper, we compute Pr(R) for some n-centralizer finite rings.

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