(n+1)-Ary derivations of simple Malcev algebras
Ivan Kaygorodov
TL;DR
This paper introduces (n+1)-ary derivations for n-ary algebras and specifically characterizes 3-derivations of simple Malcev algebras and 4-ary derivations of the simple ternary Malcev algebra M_8.
Contribution
It defines (n+1)-ary derivations and provides a detailed description of these derivations for specific simple Malcev algebras.
Findings
Characterization of 3-derivations of simple Malcev algebras
Description of 4-ary derivations of simple ternary Malcev algebra M_8
Extension of derivation concepts to (n+1)-ary structures
Abstract
We defined (n+1)-ary derivations of n-ary algebras. We described 3-derivations of simple Malcev algebras and 4-ary derivations of simple ternary Malcev algebra M_8.
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