I believe that the electrical cells are the ones that make up the Solar generators with which those cells capture electricity by means of which the batteries are just static storage without any conversion or different use.
There is no difference between the two. Actually, a battery is the combination of two or more electric cells. It was invented Alessandro Volta in 1800. Battery is now used as a common power source world wide. For details about battery and how it works, visit this link.
That is not true, an electric cell has negative and positive electrodes
Yes there is a difference it is that a batter has negitive charges and a electric cell has positive charges