Showing two Q-modules are isomorphic

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Can we show that Q tensor Q over Z is isomorphic to Q tensor Q over Q as left Q-modules?

If you are interested in graduate level Abstract Algebra, I recommend the book "Abstract Algebra" by David S. Dummit and Richard M. Foote.
  1. The Walton Pi
  2. R-module
  3. Abstract Algebra
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