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
收藏
页码：4557 / 4564
页数：8
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