Hyper-algebraic invariants of $p$-adic algebraic numbers

Shanwen Wang, Yijun Yuan

Let $p\ge 3$ be a prime. The hyper-algebraic elements in the $p$-adic Mal'cev-Neumann field ${\mathbb{L}}_p$ form an algebraically closed subfield ${\mathbb{L}}_p^{\mathrm{ha}}$…