A preferred embodiment is an uncoated, biodegradable stent. The stent has a filigree structure of magnesium alloy struts. The struts of the supporting structure are arranged to permit a compressed form for introduction into the body and to permit an expanded form at the site of the application within a vessel. The magnesium alloy struts are formed of a corrodible magnesium alloy. The magnesium alloy is formed from high-purity vacuum distilled magnesium containing impurities, which promote electrochemical potential differences and/or the formation of precipitations and/or intermetallic phases. The impurities are such that the struts of the stent have a tensile strength of >275 MPa a yield point of >200 MPa, a yield ratio of 50 MPa.