2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121531We look at how the equivalence of tight closure and plus closure (or Frobenius closure) in the homogeneous m-coprimary case implies the same closure equivalence in the non-homogeneous m-coprimary case in standard graded rings. Although our result does not depend upon dimension, the primary application is based on results known in dimension 2 due to the recent results of H. Brenner. We also show that unlike the Noetherian case, the injective hull of the residue field over $R^+$ or $R^\infty$ contains elements that are not killed by any power of the maximal ideal of R.14 pages, minor revisions madeCommutative Algebra13A35 (Primary) 13B22, 13C11 (Secondary)text