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.
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页码：1217 / 1226
页数：10
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