Abstract: An apparatus and process for the extrusion of linear low density polyolefins. The apparatus comprises an extruder die including a cylindrically shaped central opening; and a die pin held within the central opening and forming, with the extruder die, an extrusion inlet and an extrusion outlet. The extruder die and the die pin also form a relaxation zone to receive a polyolefin conducted through the extrusion inlet and to relieve stresses in the polyolefin; a compression zone to receive the polyolefin from the relaxation zone and to compress the polyolefin into a tubular shaped film; and a stabilization zone to receive the polyolefin from the compression zone, to stabilize the shape of the tubular film, and to conduct the tubular film to the extrusion outlet.