Document Type : Original Article

Author

• Kamal Paykan

Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Abstract

A ring $R$ is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is right $s$-unital by right semicentral idempotents. In this paper, we characterize when a generalized triangular matrix ring is a weakly p.q.-Baer ring.

Keywords

• Generalized triangular matrix ring
• Annihilator
• Quasi-Baer
• Weakly principally quasi-Baer
• Semicentral idempotent