NIL-CLEAN RINGS OF NILPOTENCY INDEX AT MOST TWO WITH APPLICATION TO INVOLUTION-CLEAN RINGS

被引：1
|
作者：
Li, Yu [1 ]
Quan, Xiaoshan [2 ]
Xia, Guoli [3 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Guangxi Teachers Educ Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R China
[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 33卷 / 03期
基金：
中国国家自然科学基金;
关键词：
idempotent; nilpotent; involution; nil-clean ring of nilpotency index at most 2; involution-clean ring;
D O I：
10.4134/CKMS.c170308
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most 2 is obtained, and is applied to improve a known result on involution-clean rings.
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页码：751 / 757
页数：7
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