On the Skew Lie Product and Derivations of Prime Rings with Involution

M. R. Mozumder, N. Dar, Mohammad Salahuddin Khan, A. Abbasi̇
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引用次数: 0

Abstract

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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关于有对合的素环的斜李积及其推导
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。
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来源期刊
Discussiones Mathematicae - General Algebra and Applications
Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory
CiteScore
0.60
自引率
0.00%
发文量
12
审稿时长
26 weeks
期刊最新文献
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