(6) If M is a finite abelian group then M is naturally a Z-module. Can this action be extended to make M into a Q-module?© BrainMass Inc. brainmass.com September 21, 2018, 5:47 pm ad1c9bdddf - https://brainmass.com/math/group-theory/abelian-groups-z-modules-and-q-modules-103614
First, I show that M is naturally a Z-module. For any x in M and n in Z,
we can define nx=x^n=x*x*...*x (n times), where * is the operation in
group M. This definition makes sense ...
Abelian Groups, Z-Modules and Q-Modules are investigated.