# Software to find zero divisors of a ring

Are there some programs with packages that help to list all zero-divisors of the ring we desired? especially for the ring of Gaussian integers modulo $$n$$, $$\mathbb{z}_n[i]$$.

Also want to find which of the product of ring elements will result in 0. I wish to get the details if any. I am new to programming languages, this is because I want to get help to verify my theoretical results.