Radicals of lie-solvable novikov algebras

We show that, for a Lie-solvable Novikov algebra, the Baer radical is precisely the set of all right nilpotent elements, whereas the Andrunakievich radical is the largest left quasiregular ideal. We investigate the extent to which certain properties of associative and commutative algebras equipped with a derivation are preserved under the Gelfand–Dorfman construction.