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arXiv · 1109.4966

On the Graded Annihilators of Right Modules Over The Frobenius Skew Polynomial Ring

Ehsan Tavanfar
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Abstract

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. We also give a counterexample in the general case.

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Ehsan Tavanfar. 2012-10-19. On the Graded Annihilators of Right Modules Over The Frobenius Skew Polynomial Ring. https://arxiv.org/abs/1109.4966

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