A note on annihilator conditions in prime rings

被引：0

作者：

Garg C. ^{[1
]}

Sharma R.K. ^{[1
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology, New Delhi, Hauz Khas, New Delhi

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2018年 / 67卷 / 2期

关键词：

Automorphism; Generalized derivation; Generalized polynomial identity; Prime ring; Utumi quotient ring;

D O I：

10.1007/s12215-017-0305-y

中图分类号：

学科分类号：

摘要：

Let R be a prime ring with char(R) ≠ 2 and a be a nonzero element in R. If F is a generalized derivation associated with a nonzero derivation d of R and k> 1 is a fixed integer such that a(F([ x, y] k) - [ x, y]) = 0 for all x, y∈ R, then R is commutative. Moreover, we will also study an identity involving an automorphism in prime ring. © 2017, Springer-Verlag Italia.

引用

页码：197 / 204

页数：7

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