NILPOTENT VALUES OF GENERALIZED DERIVATION IN PRIME AND SEMIPRIME RINGS

被引：0
|
作者：
Rahaman, Md Hamidur [1 ]
机构：
[1] APC Roy Govt Coll, Dept Math, Siliguri 734010, India
来源：
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2021年 / 39卷 / 5-6期
关键词：
Semiprime ring; Prime ring; Ideal; Generalized derivation;
D O I：
10.14317/jami.2021.761
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let I be a nonzero ideal of a prime ring R and m, n are positive integers. If R admits a generalized derivation F satisfying F(x)F-n(y)(m) - x(n)y(m) = 0 for any y, x is an element of I, then F(x) = ax for any x is an element of R and a(m+n) = 1, where a is an element of C, the extended centroid of R.
引用
收藏
页码：761 / 768
页数：8
相关论文
共 50 条
12345