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

2011/09/22 by Ehsan Tavanfar, Tavanfar, Ehsan
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AC

paper · pdf · doi:10.48550/arxiv.1109.4966

New references added, English and presentation improved. To appear in Communications in Algebra

arxiv created 2012/10/19 · arxiv updated 2012/10/22

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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