Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings

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

Authors

1 Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, K.S.A.

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

Abstract

The purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-1)!$-torsion free semiprime ring $\mathcal{A}$. Here we prove another result in the setting of the generalized left ($\zeta, \xi$)-derivation on $\mathcal{A}$.

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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 41-49

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History

  • Receive Date: 02 May 2024
  • Revise Date: 04 November 2024
  • Accept Date: 22 November 2024

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