Rings Whose Clean Elements are Uniquely Clean

被引：0
|
作者：
Calugareanu, Grigore [1 ]
Zhou, Yiqiang [2 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Dept Math, Cluj Napoca 400084, Romania
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NL A1C 5S7, Canada
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Idempotent; unit; clean element; uniquely clean element; abelian ring; semipotent ring; potent ring; Boolean ring; UNIT; SUM; INDEX;
D O I：
10.1007/s00009-022-02222-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The rings whose every element is uniquely clean are completely characterized in Nicholson and Zhou (Glasg Math J 46(2):227-236, 2004). These rings belong to a larger class of rings for which every clean element is uniquely clean. The latter is the topic of this article.
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页数：12
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