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.
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页码：5119 / 5124
页数：6
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