On $m$-commuting mappings with skew derivations in prime rings
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- by N. Rehman and M. Arif Raza
- St. Petersburg Math. J. 27 (2016), 641-650
- DOI: https://doi.org/10.1090/spmj/1411
- Published electronically: June 2, 2016
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Abstract:
Let $m,k$ be two fixed positive integers, $R$ a prime ring with the Martindale qoutient ring $Q$, $L$ a noncommutative Lie ideal of $R$, and $\delta$ a skew derivation of $R$ associated with an automorphism $\varphi$, denoted by $(\delta ,\varphi )$. If $[\delta (x), x^m]_k=0$ for all $x\in L$, then $\mathrm {char}(R)=2$ and $R\subseteq M_2(F)$ for some field $F$.References
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Bibliographic Information
- N. Rehman
- Affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
- Email: nu.rehman.mm@amu.ac.in
- M. Arif Raza
- Affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
- Email: arifraza03@gmail.com
- Received by editor(s): March 2, 2015
- Published electronically: June 2, 2016
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 641-650
- MSC (2010): Primary 16N60
- DOI: https://doi.org/10.1090/spmj/1411
- MathSciNet review: 3580193