On quasi-Baer rings of Ore extensions

Abstract

Let $R$ be a ring and $S=R[x;\sigma ,\delta ]$ its Ore extension. We prove under some conditions that $R$ is a quasi-Baer ring if and only if the Ore extension $R[x;\sigma ,\delta ]$ is a quasi-Baer ring. Examples are provided to illustrate and delimit our results.

8 pages

Cited by in corpus (2)

• Ore Extensions of Extended Symmetric and Reversible Rings
• Ore extensions of principally quasi-Baer rings