This analysis reveals properties of G-derivations in Lie–Yamaguti superalgebras, indicating their interplay with other derivations.
UDC 512.5 Let G be an automorphism group. We study G-derivations associated with the Lie–Yamaguti superalgebras. The concept of 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 G-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.
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Abdaoui et al. (2025) studied this question.
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