disclosed is a hot - gas - conducting housing element for a hot - gas - conducting housing of a gas turbine system encompassing a compressor , a turbine , and a turbine rotor . the hot gas - conducting housing element is embodied so as to surround a protective shaft jacket placed around the turbine rotor and conduct a hot gas to the turbine . the hot gas - conducting housing element comprises : — at least one hot gas inlet ; — an opening facing the turbine ; — a section for conducting the hot gas from the at least one hot gas inlet to the opening facing the turbine , said conducting section being provided with an inner housing hub which is configured so as to surround the protective surface facing the protective shaft jacket . said rib extends in the circumferential direction , protrudes from the circumferential surface , and is disposed in the zone of the circumferential surface bordering the opening that faces the turbine . the rib and / or the inner housing hub is / are fitted with cooling fluid ducts .