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.
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页码：587 / 598
页数：12
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