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Describe the set of all endomorphisms of the additive group $\mathbb{Z}_{p}^{n}$ where $p$ is a prime. Under what operations is this set a ring?

It has been a while since I took Abstract Algebra and I am preparing for the prelims. I am not sure how to tackle this one. Any help/suggestion/hint will be much obliged.

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    Is $\mathbb{Z}_p$ the $p$-adic integers or $\mathbb{Z}/p\mathbb{Z}$?2012-06-25
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    Yuan- That's an interesting question! I wrote down the problem as it was written. So, I am not sure! I have always used $\mathbb{Z}_p$ to mean integers modulo $p.$2012-06-25

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