An assembly formed by a turbine nozzle or a compressor diffuser for a turbine engine and by a metal abradable material support ring, the turbine nozzle or compressor diffuser comprising a plurality of sectors, each having an inner platform, an outer platform, and airfoils extending between the inner platform and the outer platform and secured thereto, and the abradable material support ring being carried by the inner platforms of the sectors on the insides of the inner platforms, the assembly comprising:
- the nozzle or diffuser sectors are made of ceramic matrix composite material;
- the abradable material support ring is made of sectors, each presenting an upstream attachment tab and a downstream attachment tab extending outwards;
- the inner platforms of the nozzle or diffuser sectors each present, on the inside, an upstream hook and a downstream hook extending inwards;
- and
- the ring supporting the abradable material is supported by the nozzle or the diffuser by mutually engaging without fastening together the end portions of the upstream attachment tabs and the upstream hooks and by mutually engaging without fastening together the end portions of the downstream attachment tabs and the downstream hooks.