关于素环上的偏导和反自同构

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

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

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引用次数: 0

摘要

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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On skew derivations and antiautomorphisms in prime rings

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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