Abstract: Process for producing sliding and/or mating rings which can be used for a sliding-ring seal, by manufacturing sliding and/or mating rings by casting from a grey cast iron material with a high thermal conductivity, by machining at least in the subsequent sealing zone and finally by laser-hardening the surface of the respective sealing zone. It is preferable to use a grey iron having the composition (%) C: 3.4-3.9, Si: 2.2-3.2, Mn: 0.5-1, Cr: 0.1-0.4, V: max, 0.15, Cu: 0.1-0.7, P: 0.3-0.6, S: max. 0.13, remainder Fe and inevitable impurities.