An Identity with Skew Derivations on Lie Ideals
Commun. Math. Res., 32 (2016), pp. 83-87.
Published online: 2021-03
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@Article{CMR-32-83,
author = {Wang , ZhengpingUr Nadeem , Rehman and Huang , Shuliang},
title = {An Identity with Skew Derivations on Lie Ideals},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {32},
number = {1},
pages = {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 $d = 0$.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.01.06}, url = {http://global-sci.org/intro/article_detail/cmr/18665.html} }
TY - JOUR
T1 - An Identity with Skew Derivations on Lie Ideals
AU - Wang , Zhengping
AU - Ur Nadeem , Rehman
AU - Huang , Shuliang
JO - Communications in Mathematical Research
VL - 1
SP - 83
EP - 87
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.01.06
UR - https://global-sci.org/intro/article_detail/cmr/18665.html
KW - skew derivation, generalized polynomial identity, Lie ideal, prime ring.
AB -
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 $d = 0$.
Wang , ZhengpingUr Nadeem , Rehman and Huang , Shuliang. (2021). An Identity with Skew Derivations on Lie Ideals.
Communications in Mathematical Research . 32 (1).
83-87.
doi:10.13447/j.1674-5647.2016.01.06
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