Commuting probabilities of $n$-centralizer finite rings

Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath

Let $R$ be a finite ring. The commuting probability of $R$, denoted by $\mathrm{Pr}(R)$, is the probability that any two randomly chosen elements of $R$ commute. $R$ is called an $n$-centr…