{"docId":10319,"paperId":10319,"url":"https:\/\/cm.episciences.org\/10319","doi":"10.46298\/cm.10319","journalName":"Communications in Mathematics","issn":"1804-1388","eissn":"2336-1298","volume":[{"vid":673,"name":"Volume 31 (2023), Issue 1"}],"section":[],"repositoryName":"arXiv","repositoryIdentifier":"2211.06589","repositoryVersion":2,"repositoryLink":"https:\/\/arxiv.org\/abs\/2211.06589v2","dateSubmitted":"2022-11-17 07:26:43","dateAccepted":"2022-11-17 09:40:21","datePublished":"2022-11-22 11:45:16","titles":["On commutativity of prime rings with skew derivations"],"authors":["Rehman, Nadeem ur","Huang, Shuliang"],"abstracts":["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."],"keywords":["Mathematics - Rings and Algebras","16W25, 16N60"]}