b-Generalized derivations act as a multipliers on prime rings

被引：4
|
作者：
Prajapati, Balchand [1 ]
Tiwari, Shailesh Kumar [2 ]
Gupta, Charu [1 ]
机构：
[1] Dr BR Ambedkar Univ Delhi, Sch Liberal Studies, New Delhi, India
[2] Indian Inst Technol Patna, Dept Math, Patna, Bihar, India
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 08期
关键词：
Left multipliers; b-generalized derivations; multilinear polynomials; prime rings; Utumi quotient ring; extended centroid; MULTILINEAR POLYNOMIALS; VANISHING DERIVATIONS;
D O I：
10.1080/00927872.2022.2035742
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a prime ring of characteristic different from 2, U be its Utumi quotient ring with the extended centroid C and f(x(1), ... , x(n)) be a non-central multilinear polynomial over C. Suppose that F, G and H are b-generalized derivations on R such that F(f(r))f(r) - f(r)G(f(r)) = H(f(r)(2)) for all r is an element of R-n, then we describe all possible forms of F, G and H.
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页码：3498 / 3515
页数：18
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