The Novikov coalgebras

In the present paper, necessary and sufficient conditions are found under which a coalgebra is a left-symmetriccoalgebra. A method for constructing coalgebras is described. An example of a left-symmetric coalgebra is constructed.Necessary and sufficient conditions are given under which a left-symmetric coalgebra is a Novikov coalgebra. An exampleof a non-locally finite Novikov coalgebra is constructed.