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2024 | OriginalPaper | Chapter

A Study of Central Identities Equipped with Skew Lie Product Involving Generalized Derivations

Authors : Md. Arshad Madni, Mohd Shuaib Akhtar, Muzibur Rahman Mozumder

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

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Abstract

Let R be a ring with involution \(\sigma \). Notation \( \nabla [t_1,t_2]\) denotes the skew Lie product and defined by \(t_1 t_2-t_2 \sigma (t_1)\). The main objective of this paper is to investigate the commutativity of \(\sigma \)-prime rings with involution \(\sigma \) of the second kind equipped with skew Lie product involving generalized derivation. Finally, we provide some examples to demonstrate that the conditions assumed in our results are necessary.

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previous chapter Analysis of Some Topological Indices Over the Weakly Zero-Divisor Graph of the Ring

next chapter Some Results on Left-sided Ideals of Semiprime Rings with Symmetric n-Derivations

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Title: A Study of Central Identities Equipped with Skew Lie Product Involving Generalized Derivations
Authors: Md. Arshad Madni
Mohd Shuaib Akhtar
Muzibur Rahman Mozumder
Publisher: Springer Nature Switzerland
Book: Advances in Ring Theory and Applications
Print ISBN: 978-3-031-50794-6

Electronic ISBN: 978-3-031-50795-3

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-50795-3_9

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