2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112750We characterize algebras admitting two well agreeing near weights $ρ$ and $σ$. We show that such an algebra $R$ is an integral domain whose quotient field $\mathbf K$ is an algebraic function field of one variable. It contains two places $p, Q\in {\mathbb P}(\mathbf K)$ such that $ρ$ and $σ$ are derived from the valuations associated to $P$ and $Q$. Furthermore $\bar R= \cap_{S\in\{\mathbb P}(\mathbf F)\setminus\{P,Q\}}{\mathcal O}_S$.10 pagesAlgebraic Geometry94B99, 14G99text