Rings with 2 in the Jacobson radical and generalized bleached conditions

被引：0

作者：

Hegde, Sharad ^{[1
]}

机构：

[1] Nitte Univ, NMAM Inst Technol NMAMIT, Dept Math, Nitte 574110, Karnataka, India

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 12期

关键词：

Bleached ring; Jacobson radical; uniquely bleached ring; uniquely clean ring; uniquely strongly clean ring; ELEMENTS; SUM; IDEMPOTENT; UNIT;

D O I：

10.1080/00927872.2024.2364895

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an example of a uniquely clean ring R which is not bleached. This example shows that if a ring R is USC then neither R needs to be uniquely totally bleached nor upper triangular matrix ring over R needs to be USC. Also, we give a necessary and sufficient conditions for an upper triangular matrix ring over a ring R to be uniquely strongly clean.

引用

页码：5119 / 5124

页数：6

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