On Finite-Dimensional Simple Novikov Algebras of Characteristic p

Let N be a nonassociative finite-dimensional simple Novikov algebra over an algebraically closed field F of characteristic p>0. Then the right multiplication algebra R is a differential simple algebra with respect to some derivation d. The algebra N is isomorphic to a Novikov algebra (R, d, Rₗ) for some operator of right multiplication by x and multiplication is given by u w=ud (w) +Rₗuw. Moreover, the algebra R is a truncated polynomial algebra.