(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?
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.