English

On commuting probability of finite rings II

Rings and Algebras 2016-11-08 v1

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.

Keywords

Cite

@article{arxiv.1611.01926,
  title  = {On commuting probability of finite rings II},
  author = {Parama Dutta and Rajat Kanti Nath},
  journal= {arXiv preprint arXiv:1611.01926},
  year   = {2016}
}