Bulletin of the
Korean Mathematical Society BKMS

A Weyl type algebra is defined in the book (\cite{D}). A Weyl type non-associative algebra $\overline{WP_{m,n,s}}$ and its restricted subalgebra $\overline{WP_{m,n,s}}_r$ are defined in various papers (\cite{ANP}, \cite{CMN}, \cite{Cn1}, \cite{Nam1}). Several authors find all the derivations of an associative (Lie or non-associative) algebra in the papers (\cite{ANP}, \cite{B}, \cite{CMN}, \cite{D}, \cite{Ikn}, \cite{Nam1}). We find all the non-associative algebra derivations of the non-associative algebra $\overline{WP_{0,2,0}}_{B}$, where $B=\{\partial_0, \partial_1, \partial_2, \partial_{12},\partial_{1}^2, \partial_{2}^2 \}.$

Keywords: simple, non-associative algebra, Kronecker delta, left identity, annihilator, idempotent, Semi-Lie algebra

MSC numbers: Primary 17B40, 17B56