2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143477Let $Φ$ be a root system and let $Φ(\Zp)$ be the standard Chevalley $\Zp$-Lie algebra associated to $Φ$. For any integer $t\geq 1$, let $G$ be the uniform pro-$p$ group corresponding to the powerful Lie algebra $p^t Φ(\Zp)$ and suppose that $p\geq 5$. Then the Iwasawa algebra $Ω_G$ has no nontrivial reflexive two-sided ideals. This was previously proved by the authors for the root system $A_1$.Minor changes made, mostly due to helpful comments from the refereeRings and AlgebrasNumber Theory16L30, 16P40text