Iterated Differential Polynomial Rings over Locally Nilpotent Rings

TL;DR

This paper investigates iterated differential polynomial rings over locally nilpotent rings, demonstrating that many such rings are Behrens radical, thereby extending previous results in the field.

Contribution

It extends the understanding of the radical properties of differential polynomial rings over locally nilpotent rings, specifically showing a large class are Behrens radical.

Findings

Many iterated differential polynomial rings over locally nilpotent rings are Behrens radical

Extension of Chebotar and Chen et al.'s results to broader classes

Provides new insights into the structure of differential polynomial rings

Abstract

We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Chen et al.