  We show that in a prime nonassociative Novikov algebra every nonzero ideal is
non-associative. We prove that Baer (and Andrunakievich) radical and left
quasiregular radical coincide in finite dimensional Novikov algebras over a
field of characteristic 0 or algebraically closed field of odd characteristic.
We show non-existence of right quasiregular radical in finite dimensional
Novikov algebras.
