  We 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.
