Weakly principally quasi-Baer rings and generalized triangular matrix rings

Volume 3, Issue 1
Winter 2021
Pages 39-45

Document Type : Original Article

Author

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

  • Receive Date 08 March 2021
  • Revise Date 11 April 2021
  • Accept Date 16 April 2021