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arxiv: 1510.08207 · v1 · pith:S7DRYUMYnew · submitted 2015-10-28 · 🧮 math.RA

Characterizing some rings of finite order

classification 🧮 math.RA
keywords finitecentralizersdistinctringssomenumbercharacterizecharacterizing
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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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