Characterizing Some Rings of Finite Order

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 it...

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Bibliographic Details
Published in:Tamkang journal of mathematics 2021-04, Vol.53
Main Authors: Nath, Rajat Kanti, Dutta, Jutirekha, Basnet, Dhiren
Format: Article
Language:English
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Summary: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.
ISSN:0049-2930
2073-9826
DOI:10.5556/j.tkjm.53.2022.3370