Graded AR Sequences and the Huneke-Wiegand Conjecture
Commutative Algebra
2018-10-17 v2
Abstract
We let R be a one-dimensional graded complete intersection, satisfying certain degree conditions which are satisfied whenever R is a numerical semigroup ring of embedding dimension at least three. We show that a graded maximal Cohen-Macaulay R-module M satisfies the Huneke-Wiegand Conjecture provided there exists an Auslander-Reiten sequence ending in M whose middle term has at least two nonfree direct summands.
Cite
@article{arxiv.1808.06600,
title = {Graded AR Sequences and the Huneke-Wiegand Conjecture},
author = {Robert Roy},
journal= {arXiv preprint arXiv:1808.06600},
year = {2018}
}
Comments
Various minor changes to the presentation