An identity on automorphisms of Lie ideals in prime rings

In the present paper it is shown that a prime ring \(R\) with center \(Z\) satisfies \(s_4\), the standard identity in four variables if \(R\) admits a non-identity automorphism \(\sigma\) such that \( [u, v] - u^{m}[u^\sigma,u]^nu^\sigma\in Z\) for all \(u\) in some noncentral ideal \(L\) of \(R\),...

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Bibliographic Details
Date:2022
Main Author: Rehmam, N.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2022
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1612
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics