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

页码：761 / 768

页数：8

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