TL;DR
The paper provides an elementary proof that rings with a finite number of zero divisors are finite, establishing a specific bound on their size.
Contribution
It offers a straightforward proof of a less-known result linking the finiteness of zero divisors to the finiteness of the ring itself.
Findings
Rings with finitely many zero divisors are finite.
A precise bound on the order of such rings is established.
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.
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