{mdk} type homogeneous Moran sets,which are a special class of d-dimensional homogeneous Moran sets are studied in this paper.By using the mass distribution principle,the inequality of the fractal dimensions for the product set and the important lemma of the upper box dimension for the one dimensional homogeneous Moran sets are obtained.Meanwhile,combining the structures of {mdk} type homogeneous Moran sets,the representations of Hausdorff dimension and upper box dimension for {mdk} type homogeneous Moran sets are obtained under some conditions.
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