Weakly principally quasi-Baer rings and generalized triangular matrix rings

Mathematical Analysis and its Contemporary Applications

دوره 3، شماره 1، اردیبهشت 2021، صفحه 39-45   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2021.1925653.1004

نویسنده

Kamal Paykan^*

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

چکیده

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.

کلیدواژه‌ها

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