Some Classes of Weakly Prime Center Rings

被引：0

作者：

Dorbidi, Hamid Reza ^{[1
]}

机构：

[1] Univ Jiroft, Fac Sci, Dept Math, Jiroft 7867161167, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2023年 / 18卷 / 02期

关键词：

Weakly prime center rings; Duo rings; Idempotent lifting;

D O I：

10.52547/ijmsi.18.2.25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring. The ring R is called weakly prime center(WPC ring) if ab is an element of Z(R) implies that aRb is an ideal of R. In this paper, we prove that every left(right) duo ring is a WPC ring. Also we introduce some classes of rings with nilpotent Jacobson radical which are WPC rings. Finally, we prove that a simple ring is a WPC ring if and only if it is a domain.

引用

页码：25 / 30

页数：6

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