arrow
Volume 32, Issue 1
An Identity with Skew Derivations on Lie Ideals

Zhengping Wang, Rehman Ur Nadeem & Shuliang Huang

Commun. Math. Res., 32 (2016), pp. 83-87.

Published online: 2021-03

Export citation
  • 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 $d = 0$.

  • Keywords

skew derivation, generalized polynomial identity, Lie ideal, prime ring.

  • AMS Subject Headings

16N20, 16W25, 16N55

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CMR-32-83, author = {Zhengping and Wang and and 18464 and and Zhengping Wang and Rehman and Ur Nadeem and and 14493 and and Rehman Ur Nadeem and Shuliang and Huang and and 18465 and and Shuliang Huang}, 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 $d = 0$.

Zhengping Wang, Rehman Ur Nadeem & Shuliang Huang. (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
Copy to clipboard
The citation has been copied to your clipboard