2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65043We characterize the tight closure of graded primary ideals in a homogeneous coordinate ring over an elliptic curve by numerical conditions and we show that it is in positive characteristic the same as the plus closure.Some minor changesCommutative AlgebraAlgebraic Geometry13A35; 14H60, 14H52, 14M20, 14C20text