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It is shown that if is a graded ring, where A
0 is a field of characteristic p > 0 and if I is a maximally differential graded ideal of A, then
for a minimal set x
1,โฆ, x
n
of homogeneous generators of the irrelevant maximal ideal of A. The graded version of Harper's theorem has also been proven.
Communicated by W. Bruns.
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