What is the probability that two elements of a finite ring have product zero?
Rings and Algebras
2018-11-01 v1
Abstract
In this paper we consider the probability that two elements of a finite ring have product zero. We find bounds of this probability of a finite commutative ring with identity 1. The explicit computations for the ring , the ring of integers modulo , have been obtained.
Cite
@article{arxiv.1810.13312,
title = {What is the probability that two elements of a finite ring have product zero?},
author = {Sanhan M. S. Khasraw},
journal= {arXiv preprint arXiv:1810.13312},
year = {2018}
}