It is known that ifRis a right noetherian ring, then the corresponding Malcev-Neumann ringR* ((G)) is right noetherian and r.K.dim(R) = r.K.dim(R* ((G))). We prove that the right noethe-rianness is a necessary condition for a Malcev-Neumann ring to have right Krull dimension. Also, we consider uniform dimension of Malcev-Neumann rings. The results obtained are applied to some other ring constructions