On b-generalized derivations in prime rings

被引：1
|
作者：
Gupta, Charu [1 ]
机构：
[1] Dr BR Ambedkar Univ Delhi, Sch Liberal Studies, Delhi 110006, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 04期
关键词：
Prime ring; Utumi quotient ring; Extended centroid; b-generalized derivation; MULTILINEAR POLYNOMIALS; VANISHING DERIVATIONS; LIE IDEALS; IDENTITIES;
D O I：
10.1007/s12215-022-00817-9
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 with Utumi quotient ring U and extended centroid C, f (x(1), ..., x(n)) be a multilinear polynomial over C, which is not central valued on R. Suppose F, G are non zero b-generalized derivations of R such that puF(u) + F(u)uq = G(u(2)), p + q is not an element of C for all u is an element of f(R). Then we describe all the possible representations of F, G.
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页码：2703 / 2720
页数：18
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