On generalized derivations in semiprime rings involving anticommutator

被引：2

作者：

Ashraf, Mohammad ^{[1
]}

Pary, Sajad Ahmad ^{[1
]}

Raza, Mohd Arif ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] King Abdulaziz Univ, Fac Sci & Arts Rabigh, Dept Math, Jeddah, Saudi Arabia

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2019年 / 60卷 / 03期

关键词：

(Semi)-prime ring; Derivation; Martindale ring of quotient; Extended centroid;

D O I：

10.1007/s13366-019-00435-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a prime ring with characteristic different from 2 and m,n,k be fixed positive integers. In this paper we study the case when R admits a generalized derivation F with associated derivation D such that (i)<m=(F(x degrees y))n, for all x,y is an element of I, where I is a non-zero ideal of R. Moreover, we also examine the case when R is a semiprime ring.

引用

页码：587 / 598

页数：12