Rings with finitely many zero divisors
Rings and Algebras
2026-04-30 v2
Abstract
We give an elementary proof of a result which is not as well known as it should be: a ring with a specified finite number of zero divisors is finite, with a precise bound on its order.
Cite
@article{arxiv.2604.23423,
title = {Rings with finitely many zero divisors},
author = {Michael Kinyon},
journal= {arXiv preprint arXiv:2604.23423},
year = {2026}
}
Comments
2 page note intended for the MAA Monthly or Math. Mag. or some such journal; v.2 fixed typos in Lemma 1 proof