On graded nil clean rings

被引：9
|
作者：
Ilic-Georgijevic, Emil [1 ]
Sahinkaya, Serap [2 ]
机构：
[1] Univ Sarajevo, Fac Civil Engn, Patriotske Lige 30, Sarajevo 71000, Bosnia & Herceg
[2] Gebze Tech Univ, Dept Math, Gebze, Turkey
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 09期
关键词：
Graded rings and modules; group rings; matrix rings; nil clean rings;
D O I：
10.1080/00927872.2018.1435791
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to graded matrix rings and to graded group rings. The question of when nil cleanness of the component, which corresponds to the neutral element of a group, implies graded nil cleanness of the whole graded ring is examined. Similar question is discussed in the case of groupoid graded rings as well.
引用
收藏
页码：4079 / 4089
页数：11
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