A printing unit contains a dampening unit and an inking unit which includes a screen roller with a circumference and an ink applicator roller with a circumference and a gap having an arc length or curve length, the ink applicator roller resting against the screen roller. The circumference of the screen roller and the circumference of the ink applicator roller and the arc length or curve length of the gap are dimensioned in predetermined proportions relative to each other so as to avoid ghosting.