Rings which are Baer or quasi-Baer modulo a radical

被引：0

作者：

Ryan, C. Edward ^{[1
]}

机构：

[1] San Diego State Univ Imperial Valley Campus, Dept Math, Calexico, CA 92231 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 10期

关键词：

Baer ring; idempotent; Morita invariant; quasi-Baer ring; radical;

D O I：

10.1080/00927872.2021.1924185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Baer and quasi-Baer rings are important classes of algebraic objects, and their properties have roots in analysis. In this paper, we investigate rings R such that R/rho(R) is Baer or quasi-Baer, where rho(R) is either the Jacobson radical or the prime radical of R. Preliminary characterizations and results are obtained; in particular, we show that the property of R/P(R) being quasi-Baer is a Morita invariant.

引用

页码：4557 / 4564

页数：8