Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I was just wondering...are all torsion modules finite? Because, for instance, if the annihilator is (a), where a is nonzero, then all multiples of a are zeros...so that's like a cycle, right?

Thanks in advance

share|improve this question
2  
$(\mathbb Z/2\mathbb Z)^{\mathbb N}$ –  Jonas Meyer Jan 15 '13 at 18:18

1 Answer 1

up vote 6 down vote accepted

The abelian group $\mathbb{Q}/\mathbb{Z}$ is infinite and all torsion.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.