On functional identities involving n-derivations in rings

On functional identities involving n-derivations in rings

In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings. Additionally, we address and discusscorrelated findings pertaining to left $n$-multipliers. Last...

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Bibliographic Details
Main Authors: Vaishali Varshney, Shakir Ali, Naira Noor Rafiquee, Kok Wong
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2024-12-01
Series:Journal of Mahani Mathematical Research
Subjects:
semiprime ring
lie ideal
derivation
symmetric $n$-derivation
$n$-multiplier
Online Access:https://jmmrc.uk.ac.ir/article_4526_08d099478fd46f29a8c51d6aea4b2fde.pdf
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Summary:In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings. Additionally, we address and discusscorrelated findings pertaining to left $n$-multipliers. Lastly, we enrich our results with examples that show the necessity of their assumptions.
ISSN:2251-7952
2645-4505

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