Local and $2$-local $\frac{1}{2}$-derivation on naturally graded non-Lie $p$-filiform algebras
DOI:
https://doi.org/10.13069/jacodesmath.v12i3.327Keywords:
Leibniz algebra, $p$-filiform Leibniz algebras, $\frac{1}{2}$-derivations, Local $\frac{1}{2}$-derivations, $2$-local $\frac{1}{2}$-derivationsAbstract
This paper is devoted to study local and $2$-local $\frac{1}{2}$-derivation on $p$-filiform Leibniz algebras. We prove that p-filiform Leibniz algebras as a rule admit local($2$-local) $\frac{1}{2}$-derivations which are not $\frac{1}{2}$-derivations.
Received: 15 April 2024| Accepted: 30 June 2025Downloads
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