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There is something I don’t understand when I want to write the elements of the ring $\mathbb Z_{15}$.

Consider the ring $\mathbb Z_{15}$ with a unity $1$. Show that $5\mathbb Z_{15}$ is a ring with a unity $10$.

Will I be right to say $5\mathbb Z_{15}=\{0,5,10\}$?

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    What does "again" refer to?2012-01-29
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    I don't understand how does one define the ring $5\mathbb{Z}_{15}$?2012-01-29
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    @BenjaminLim: I presume $5\mathbb Z_{15}=\{5a:a\in\mathbb Z_{15}\}$.2012-01-29
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    @JonasMeyer Ok thanks.2012-01-29

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