On skew derivations and antiautomorphisms in prime rings

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2023-10-27 DOI:10.1515/gmj-2023-2082

Amal S. Alali, Hafedh Alnoghashi, Junaid Nisar, Nadeem ur Rehman, Faez A. Alqarni

引用次数: 0

Abstract

Abstract According to Posner’s second theorem, a prime ring is forced to be commutative if a nonzero centralizing derivation exists on it. In this article, we extend this result to prime rings with antiautomorphisms and nonzero skew derivations. Additionally, a case is shown to demonstrate that the restrictions placed on the theorems’ hypothesis were not unnecessary.

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关于素环上的偏导和反自同构

摘要根据波斯纳第二定理，如果一个素环上存在一个非零的集中导数，则它是可交换的。在本文中，我们将这一结果推广到具有反自同构和非零偏导的素环上。另外，用一个例子证明了对定理假设的限制并不是不必要的。

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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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.