Rings in which Nilpotent Elements are Right Singular

被引：1
|
作者：
Nejadzadeh, A. [1 ]
Amini, A. [1 ]
Amini, B. [1 ]
Sharif, Habib [1 ]
机构：
[1] Shiraz Univ, Dept Math, Coll Sci, Shiraz 71457, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 05期
关键词：
Nilpotent element; Right singular element; Right singular ideal; Right Z-reduced ring; ARMENDARIZ RINGS;
D O I：
10.1007/s41980-018-0085-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that every central nilpotent element of a ring R belongs to the right (left) singular ideal of R. In this paper, we investigate rings in which all nilpotent elements belong to the right singular ideal of R.
引用
收藏
页码：1217 / 1226
页数：10
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