On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras

Authors

  • Meher Abdaoui University of Kairouan, LR18ES45, Mathematical Physics, Quantum Modeling and Mechanical Design, Preparatory Institute for Engineering Studies of Kairouan, Tunisia
  • Jamel Boujelben Department of Mathematics, Faculty of Sciences of Sfax, Tunisia

DOI:

https://doi.org/10.3842/umzh.v77i9.8857

Keywords:

Lie-Yamaguti superalgebra; Derivation; Quasi-derivation

Abstract

UDC 512.5

Let $\mathit{G}$ be an automorphism group. We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras. The concept of $\mathit{G}$-derivation, which is a derivation under both  bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also study some important properties of $\mathit{G}$-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 9, 2025.

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Published

06.11.2025

Issue

Vol. 77 No. 9 (2025)

Section

Research articles

License

Copyright (c) 2025 Meher Abdaoui, Jamel Boujelben

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Abdaoui, Meher, and Jamel Boujelben. “On $\mathit{G}$-Derivations of Lie–Yamaguti Superalgebras”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 9, Nov. 2025, p. 590, https://doi.org/10.3842/umzh.v77i9.8857.