2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75813We show the finite generation of certain invariant graded algebras defined on toric weak log Fano fibrations. These are the toric version of FGA algebras, recently introduced by Shokurov in connections to the existence of flips.23 pagesAlgebraic Geometry14E30; 14M25, 11J25Asymptotically saturated toric algebrastext