10.46298/cm.10319
https://cm.episciences.org/10319
Rehman, Nadeem ur
Nadeem ur
Rehman
Huang, Shuliang
Shuliang
Huang
On commutativity of prime rings with skew derivations
Let $\mathscr{R}$ be a prime ring of Char$(\mathscr{R}) \neq 2$ and $m\neq 1$
be a positive integer. If $S$ is a nonzero skew derivation with an associated
automorphism $\mathscr{T}$ of $\mathscr{R}$ such that $([S([a, b]), [a,
b]])^{m} = [S([a, b]), [a, b]]$ for all $a, b \in \mathscr{R}$, then
$\mathscr{R}$ is commutative.
episciences.org
Mathematics - Rings and Algebras
16W25, 16N60
arXiv.org - Non-exclusive license to distribute
2022-11-17
2022-11-22
2022-11-22
eng
journal article
arXiv:2211.06589
10.48550/arXiv.2211.06589
2336-1298
https://cm.episciences.org/10319/pdf
VoR
application/pdf
Communications in Mathematics
Volume 31 (2023), Issue 1
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