SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS
SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS
We define the non-associative algebra <TEX>$\bar{W(n,m,m+s)}$</TEX>) and we show that it is simple. We find the non-associative algebra automorphism group <TEX>$Aut_{non}\bar{(W(1,0,0))}\;of\;\bar{W(1,0,0)}$</TEX>. Also we find that any derivation of <TEX>$\bar{W(1,0,0)}$</TEX> is a scalar derivation in this paper.