English

On generalized commuting probability of finite rings

Rings and Algebras 2017-07-18 v1

Abstract

Let RR be a finite ring and rRr \in R. The aim of this paper is to study the probability that the commutator of a randomly chosen pair of elements of RR equals rr.

Keywords

Cite

@article{arxiv.1707.05079,
  title  = {On generalized commuting probability of finite rings},
  author = {Parama Dutta and Rajat Kanti Nath},
  journal= {arXiv preprint arXiv:1707.05079},
  year   = {2017}
}