Recently there were presented new examples of MRAs based on p-adic and adelicwavelets. This is a note of the methodological nature. Its aim is embed all known examples MRAsinto the measure-free scheme based on abstract Hilbert space formalism. On the one hand, suchan embedding unifies the known examples of MRAs. On the other hand, the presented measure freescheme can be used for construction of new examples ofMRAs, especially in the infinite dimensionalcase. The last section of this paper is devoted to another abstract MRAs scheme based on Rieszspaces.We start paper with a review on p-adic and adelic wavelets.