On the Graded Annihilators of Right Modules Over The Frobenius Skew Polynomial Ring
Commutative Algebra
2012-10-22 v2
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.
Keywords
Cite
@article{arxiv.1109.4966,
title = {On the Graded Annihilators of Right Modules Over The Frobenius Skew Polynomial Ring},
author = {Ehsan Tavanfar},
journal= {arXiv preprint arXiv:1109.4966},
year = {2012}
}
Comments
New references added, English and presentation improved. To appear in Communications in Algebra