Special identity for Novikov-Jordan algebras

A commutative algebra with identity (a*b)*(c*d) -(a*d)*(c*b) = (a,b,c)*d - (a,d,c)*b is called Novikov-Jordan. Example: K[x] under multiplication a*b = \partial(ab) is Novikov-Jordan. Special identity for Novikov-Jordan algebras of degree 5 is constructed. Free Novikov Jordan algebras with q generators are exceptional for any q greater than or equal to 1.

Askar Dzhumadil'daev < askar@math.kz >