Abstract
An algebra with the identity xe(yez Az ey) = (xey)ez A (xez)ey is called right-symmetric. A right-symmetric algebra with the identity x e (y e z) = y e (x e z) is called Novikov. We describe bases of free right-symmetric algebras and free Novikov algebras and give realizations of them in terms of trees. The free Lie algebra is obtained as a Lie subalgebra of the free right-symmetric algebra. We use our methods to study identities of Witt algebras. To Jan–Erik Roos on his sixty–Þfth birthday
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