关于具有斜导子的素环的交换性

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-11-12 DOI:10.46298/cm.10319

N. Rehman, Shuliang Huang

引用次数: 0

摘要

设$\mathscr｛R｝$是Char$（\mathscr{R｝）\neq2$的素数环，$m\neq1$是正整数。如果$S$是一个非零偏斜导数，具有$\mathscr｛R｝$的关联自同态$\mathscr｛T｝$，使得对于所有的$a，b\in\mathscr{R｝$，$（[S（[a，b]），[a，b]]）^｛m｝=[S（[a，b]]），\a，b]]$，那么$\mathscr｛R}$是可交换的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.