Definition:P-adic Integer

Definition
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers for some prime $p$.

Also see

 * Equivalence of Definitions of P-adic Integer


 * P-adic Integers is Valuation Ring Induced by P-adic Norm


 * P-adic Integers is Local Ring for a proof that the set of $p$-adic integers $\Z_p$ is a local ring.