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
相关论文
共 50 条
  • [31] On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings
    Ali, Eltiyeb
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [32] A Sheaf Representation of Principally Quasi-Baer -Rings
    Khairnar, Anil
    Waphare, B. N.
    ALGEBRAS AND REPRESENTATION THEORY, 2019, 22 (01) : 79 - 97
  • [33] A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
    Cheng, Yuwen
    Huang, Feng-Kuo
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (07): : 1721 - 1731
  • [34] A simple proof of a theorem on quasi-Baer rings
    Yiqiang Zhou
    Archiv der Mathematik, 2003, 81 : 253 - 254
  • [35] A Sheaf Representation of Principally Quasi-Baer ∗-Rings
    Anil Khairnar
    B. N. Waphare
    Algebras and Representation Theory, 2019, 22 : 79 - 97
  • [36] Prime ideals of principally quasi-Baer rings
    Birkenmeier, GF
    Kim, JY
    Park, JK
    ACTA MATHEMATICA HUNGARICA, 2003, 98 (03) : 217 - 225
  • [37] Quasi-Baer ring extensions and biregrular rings
    Birkenmeier, GF
    Kim, JY
    Park, JK
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2000, 61 (01) : 39 - 52
  • [38] POLYNOMIAL EXTENSIONS OF GENERALIZED QUASI-BAER RINGS
    Ghalandarzadeh, S.
    Javadi, H. S.
    Khoramdel, M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (05) : 804 - 808
  • [39] Polynomial extensions of generalized quasi-Baer rings
    S. Ghalandarzadeh
    H. S. Javadi
    M. Khoramdel
    Ukrainian Mathematical Journal, 2010, 62 : 804 - 808
  • [40] Quasi-Baer rings with essential prime radicals
    Jin, Hai Lan
    Doh, Jaekyung
    Park, Jae Keol
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (10) : 3537 - 3541
12345