On Homotopes of Novikov Algebras

Given a unital associative commutative ring Φ containing $\frac{1}{2}$ , we consider a homotope of a Novikov algebra, i.e., an algebra $A_\varphi $ that is obtained from a Novikov algebra A by means of the derived operation $x \cdot y = xy\varphi $ on the Φ-module A, where the mapping ? satisfies the equality $xy\varphi = x(y\varphi )$ . We find conditions for a homotope of a Novikov algebra to be again a Novikov algebra.