关于有对合的素环的斜李积及其推导

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-04-06 DOI:10.7151/dmgaa.1355

M. R. Mozumder, N. Dar, Mohammad Salahuddin Khan, A. Abbasi̇

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引用次数: 0

摘要

设R是一个有对合' * '的环。a, b∈R的斜李积定义为∗[a, b] = ab−ba∗。本文的目的是研究一个质数环的交换性，它满足包含斜李积的各种* -微分恒等式。最后，我们提供了两个例子来证明对我们的一些结果的假设限制并不是多余的。

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 the Skew Lie Product and Derivations of Prime Rings with Involution

Abstract Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie product. Finally, we provide two examples to prove that the assumed restrictions on some of our results are not superfluous.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks