A note on $n$-centralizer finite rings

Let $R$ be a finite ring and let $\Cent(R)$ denote the set of all distinct centralizers of $R$. $R$ is called an $n$-centralizer ring if $|Cent(R)| = n$. In this paper, we characterize $n$-centralizer finite rings for $n \leq 7$.

Jutirekha Dutta, Dhiren K. Basnet, Rajat K. Nath · 2015