Identify $\displaystyle \mathbb{Z}_2 \otimes \mathbb{Z}_m$, depending on m. I have no idea where to start. I don't even know what exactly does 'identify' mean. Please help.
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Originally Posted by georgel Identify $\displaystyle \mathbb{Z}_2 \otimes \mathbb{Z}_m$, depending on m. I have no idea where to start. I don't even know what exactly does 'identify' mean. Please help. $\displaystyle \mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d,$ where $\displaystyle d=\gcd(2,m).$ see my post in here.
Originally Posted by NonCommAlg $\displaystyle \mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d,$ where $\displaystyle d=\gcd(2,m).$ see my post in here. Thank you so much for this quick and useful reply!
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