On commuting probability of finite rings
Rings and Algebras
2015-10-29 v1
Abstract
The commuting probability of a finite ring , denoted by , is the probability that any two randomly chosen elements of commute. In this paper, we obtain several bounds for through a generalization of . Further, we define -isoclinism between two pairs of rings and show that the generalized commuting probability, defined in this paper, is invariant under -isoclinism between two pairs of finite rings.
Keywords
Cite
@article{arxiv.1510.08211,
title = {On commuting probability of finite rings},
author = {Jutirekha Dutta and Dhiren Kumar Basnet and Rajat Kanti Nath},
journal= {arXiv preprint arXiv:1510.08211},
year = {2015}
}