# What is the probability that two elements of a finite ring have product zero?

## DOI:

https://doi.org/10.11113/mjfas.v16n4.1914## Abstract

In this paper, the probability that two elements of a finite ring have product zero is considered. The bounds of this probability are found for an arbitrary finite commutative ring with identity 1. An explicit formula for this probability in the case of, the ring of integers modulo, is obtained.

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