Characterizing Some Rings of Finite Order
Rajat Kanti Nath, Jutirekha Dutta, Dhiren Kumar Basnet · Tamkang Journal of Mathematics · 2021
In this paper, we compute the number of distinct centralizers of some classes of finite rings. We then characterize all finite rings with $n$ distinct centralizers for any positive integer $n \le 5$. Further we give some connections between the number of distinct centralizers of a finite ring and its commutativity degree.