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.

引用

页码：2703 / 2720

页数：18