  This paper's central theme is to prove the existence of an n-algebra whose
multiplication cannot be expressed employing any binary operation. Furthermore,
to prove if two algebras are not isomorphic, this property does not hold for
$3$-algebras corresponding to these two algebras. The proof drives applying
some results gotten early applying a new approach for the classification
algebras problem, introduced recently, which showed great success in solving
many classification algebras problems.
