On homotopes of Novikov algebras

Given a unital associative commutative ring Ф 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 Ф-module $A$, where the mapping $\varphi$ satisfies the equality $xy\varphi =x(y\varphi)$. We find conditions for a homotope of a Novikov algebra to be again a Novikov algebra.