Battery with precisely positioned construction

The battery has an anode material layer (5), a cathode material layer (4), and a separator (2) formed as a separating layer between the anode material layer and the cathode material layer. A housing comprises an interior space that surrounds the anode material layer and the cathode material layer. The housing comprises a non-electrical conductivity conductor made of plastic material. The separator protrudes in a surface area beyond the cathode material layer, so that the separator forms an overhang beyond at an edge of the cathode material layer. An independent claim is also included for a method for producing a battery.