P-adically closed field (source code)

= P-adically closed field
{wiki=P-adically_closed_field}

A **p-adically closed field** is a field that satisfies certain properties related to valuation theory and algebraic closure in the context of p-adic numbers. To understand it fully, let's break it down: 1. **p-adic Numbers**: The p-adic numbers \\( \\mathbb\{Q\}_p \\) are a system of numbers used in number theory.