The layer system having an increased magnetoresistive effect contains at least one soft magnetic detection layer, a non-magnetic decoupling layer, which rests on the detection layer, and a layer partial system, which is located at a distance due to the decoupling layer, forms an artificial antiferromagnet, and which is decoupled from the detection layer. This partial system comprises a first ferromagnetic and a second ferromagnetic layer. The first ferromagnetic layer should be antiferromagnetically coupled (K2) to the second ferromagnetic layer via a non-magnetic coupling layer. In addition, the side of the first ferromagnetic layer facing away from the coupling layer should be provided with an antiferromagnetic additional layer and be exchange-coupled (K3) thereto and, in addition, should have a material composition that differs from the second ferromagnetic layer.