インタフェースと抽象クラスの混合は問題ない？

public interface IAlgorithm
{
    void Initialize();
    void Execute();
    void Abort();
}

public abstract class BaseAlgorithm
{
    public virtual void Initialize() {....}
}

public class MyAlgorithm : IAlgorithm, BaseAlgorithm
{
    public void Execute() {....}
    public void Abort() {....}
}

public interface IAlgorithm
{
    ....
}

public abstract class BaseAlgorithm : IAlgorithm
{
   ....
}

public class MyAlgorithm : BaseAlgorithm
{
    ....
}

public class AlgorythmFactory
{
    public static IAlgorithm Get(string name)
    {
        ...
    }
}

public class AlgorithmClient
{
    public void AnyFunction()
    {
        IAlgorithm alg = AlgorithmFactory.Get("MyAlgolithm");
    }
}