Mathematics – Commutative Algebra
Scientific paper
2011-09-22
Mathematics
Commutative Algebra
Scientific paper
Let R be a commutative Noetherian ring of prime characteristic and M be an
x-divisible right R[x,f]-module that is Noetherian as R-module. We give an
affirmative answer to the question of Sharp and Yoshino in the case where R is
semi-local and prove that the set of graded annihilators of R[x,f]-homomorphic
images of M is finite. Next we give a counterexample in general case.
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