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Math Help - Identify Z_3 x Z_m

  1. #1
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    Identify Z_3 x Z_m

    Identify \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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  2. #2
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    Quote Originally Posted by georgel View Post
    Identify \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.
    \mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d, where d=\gcd(2,m). see my post in here.
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  3. #3
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    Quote Originally Posted by NonCommAlg View Post
    \mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d, where d=\gcd(2,m). see my post in here.
    Thank you so much for this quick and useful reply!
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