When are Ore extensions over nil rings Brown--McCoy radicals?

Wagner Cortes                <meta name=

2021/98/3-4 (2) — DOI: 10.5486/PMD.2021.8774 — pp. 277-287

When are Ore extensions over nil rings Brown—McCoy radicals?

Authors: Wagner Cortes and Edilson Soares Miranda

Abstract:

In this paper, we consider the Ore extension $R[x;\sigma,d]$, where $R$ is an associative ring, $\sigma$ is an automorphism, and $d$ a $\sigma$-derivation of $R$. We study when $R[x;\sigma,d]$ is Brown—McCoy radical.

Keywords: Ore extensions, nil rings, Brown-McCoy radical

Mathematics Subject Classification: 16S36, 16N80