The multiplication probability of a finite ring
Rings and Algebras
2025-04-18 v1
Abstract
We study the probability that the product of two randomly chosen elements in a finite ring is equal to some fixed element . We calculate this probability for semisimple rings and some special classes of local rings, and find the bounds for this probability for an arbitrary finite ring.
Cite
@article{arxiv.2504.12886,
title = {The multiplication probability of a finite ring},
author = {David Dolžan},
journal= {arXiv preprint arXiv:2504.12886},
year = {2025}
}