paper

Rings with finitely many zero divisors

arXiv:2604.23423

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.

2 page note intended for the MAA Monthly or Math. Mag. or some such journal; v.2 fixed typos in Lemma 1 proof

Rings with finitely many zero divisors · wovepaper