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arXiv · 1611.01926

On commuting probability of finite rings II

Parama Dutta·Rajat Kanti Nath
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Abstract

The aim of this paper is to study the probability that the commutator of an arbitrarily chosen pair of elements, each from two different subrings of a finite non-commutative ring equals a given element of that ring. We obtain several results on this probability including a computing formula, some bounds and characterizations.

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Parama Dutta, Rajat Kanti Nath. 2016-11-07. On commuting probability of finite rings II. https://arxiv.org/abs/1611.01926

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