Almost all books that I have found deal with derivation on several types of rings (or algebras) (for instance, **commutative, noncommutative, domains, non-domains etc**).

However, each paper about **locally nilpotent derivations** (that I know) suppose the ring is a **domain**.

** Question:** what happens with rings containing zero divisors and the study of locally nilpotent derivations? Does exist any phenomenon on them?

I appreciate any reference.