Characterizing some rings of finite order

Abstract

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.

Cited by in corpus (1)

• Commuting probabilities of $n$-centralizer finite rings