Definition talk:P-adic Integer

$p$-adic Integers Notation
A decision needs to be made regarding the notation to be used for the $p$-adic integers.

In many sources the notation $\Z_p$ is used to denote the $p$-adic integers but this notation is used on for the ring of integers module $p$ where $p$ is a prime number.

So I’m looking for some thoughts and direction for the notation to be used on for the $p$-adic integers. I’ve tentatively suggested $\mathbf {Z}_p$, but I’m in no way wedded to this as this could still be seen as conflicting with ring of integers module $p$.

Other possibilities could be $\mathbb {I}_p$ or $\mathbb {J}_p$ since $\mathbb {I}$ and $\mathbb {J}$ are sometimes used for the integers, but I haven’t seen either of these used anywhere. I’ve only seen $\Z_p$ or $\mathbf {Z}_p$ used for the $p$-adic integers in the 4 books I have and in online sources.

—Leigh.Samphier (talk) 06:57, 8 March 2019 (EST)


 * How vitally important is it that it has to be unique? --prime mover (talk) 12:41, 8 March 2019 (EST)