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arXiv · 1510.08207

Characterizing some rings of finite order

Jutirekha Dutta·Dhiren Kumar Basnet·Rajat Kanti Nath
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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 $n \leq 5$. Further we give some connections between the number of distinct centralizers of a finite ring and its commutativity degree.

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Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath. 2015-10-28. Characterizing some rings of finite order. https://arxiv.org/abs/1510.08207

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