2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65121Demushkin's Theorem says that any two toric structures on an affine variety X are conjugate in the automorphism group of X. We provide the following extension: Let an (n-1)-dimensional torus T act effectively on an n-dimensional affine toric variety X. Then T is conjugate in the automorphism group of X to a subtorus of the big torus of X.6 pages, to appear in Math. ZAlgebraic GeometryCommutative Algebra13A50, 14L30, 14M25, 14R20text