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arxiv: 1611.01926 · v1 · pith:J3JRNDD7new · submitted 2016-11-07 · 🧮 math.RA

On commuting probability of finite rings II

classification 🧮 math.RA
keywords probabilityfiniteringarbitrarilyboundscharacterizationschosencommutator
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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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