An equation in tensor product

Question

I want to find the numbers of solutions of below equation:
$$| \mathbb Z_n \otimes \mathbb Z_{12}| =\frac{n}{2} $$

score 3 · Accepted Answer · answered Mar 10 '13 at 19:50

3

Hint: Try to prove that $\Bbb Z_n\otimes\Bbb Z_m\cong\Bbb Z_{\gcd(n,m)}$.

answered Mar 10 '13 at 19:50

Berci

1 Answers1