TWO GENERALIZED DERIVATIONS ON LIE IDEALS IN PRIME RINGS

被引：0
|
作者：
Pandey, Ashutosh [1 ]
Prajapati, Balchand [1 ]
机构：
[1] Dr B R Ambedkar Univ, Sch Liberal Studies, Delhi 110006, India
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2023年 / 34卷
关键词：
Lie ideal; generalized derivation; extended centroid; Utumi quo-tient ring; ENGEL CONDITION;
D O I：
10.24330/ieja.1281636
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 not equal to 2, U be the Utumi quotient ring of R and C be the extended centroid of R. Let G and F be two generalized derivations on R and L be a non-central Lie ideal of R. If � � F G(u) u = G(u2) for all u & ISIN; L, then one of the following holds: (1) G = 0. (2) There exist p, q & ISIN; U such that G(x) = px, F(x) = qx for all x & ISIN; R with qp = p. (3) R satisfies s4.
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页码：48 / 61
页数：14
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