On functional identities involving n-derivations in rings

Document Type : Special Issue: First Joint IIIMT-Algebra Forum Conference 2023

Authors

1 Institute of Applied Sciences & Humanities, GLA University, Mathura-281406, Mathura-281406, India

2 Department of Mathematics, Aligarh Muslim University, Aligarh, India

3 Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia

Abstract

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 discuss
correlated findings pertaining to left $n$-multipliers. Lastly, we enrich our results with examples that show the necessity of their assumptions.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 5 - Serial Number 30
Special Issue: First Joint IIIMT-Algebra Forum Conference 2023
December 2024
Pages 21-40

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History

  • Receive Date: 11 April 2024
  • Revise Date: 08 October 2024
  • Accept Date: 15 November 2024

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