## Commuting probabilities of \$n\$-centralizer finite rings. (arXiv:1803.04111v1 [math.RA])

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.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 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.