An Identity with Skew Derivations on Lie Ideals

An Identity with Skew Derivations on Lie Ideals

Year:    2016

Author:    Zhengping Wang, Rehman Ur Nadeem, Shuliang Huang

Communications in Mathematical Research , Vol. 32 (2016), Iss. 1 : pp. 83–87

Abstract

Let $R$ be a 2-torsion free prime ring and $L$ a noncommutative Lie ideal of $R$. Suppose that $(d, σ)$ is a skew derivation of $R$ such that $x^s d(x)x^t = 0$ for all $x ∈ L$, where $s, t$ are fixed non-negative integers. Then $d = 0$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2016.01.06

Communications in Mathematical Research , Vol. 32 (2016), Iss. 1 : pp. 83–87

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    skew derivation generalized polynomial identity Lie ideal prime ring.

Author Details

Zhengping Wang

Rehman Ur Nadeem

Shuliang Huang