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Let's consider definition of reduced modules and torsion modules:

A reduced module $C$ is defined by the property that $\mathrm{Hom}(A,C)=0$ for every divisible module $A$.

(see for example A Foundation of Torsion Theory for Modules Over Geeneral Rings by Hattori)

I can not find any example about reduced module in this sense.

Please help me find some. I really appreciate your ideas!

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    All caps is considered to be "shouting"; please don't use it.2012-03-01

3 Answers 3