A MOSFET transistor device includes a functional layer of silicon carbide, having a first conductivity type. Gate structures are formed on a top surface of the functional layer and each includes a dielectric region and an electrode region. Body wells having a second conductivity type are formed within the functional layer, and the body wells are separated from one another by surface-separation regions. Source regions having the first conductivity type are formed within the body wells, laterally and partially underneath respective gate structures. Modified-doping regions are arranged in the surface-separation regions centrally thereto, underneath respective gate structures, in particular underneath the corresponding dielectric regions, and have a modified concentration of dopant as compared to the concentration of the functional layer.