Ulrich ideals and almost Gorenstein rings
Commutative Algebra
2016-05-17 v2
Abstract
The structure of the complex is explored for an Ulrich ideal in a Cohen-Macaulay local ring . As a consequence, it is proved that in a one-dimensional almost Gorenstein but non-Gorenstein local ring, the only possible Ulrich ideal is the maximal ideal. It is also studied when Ulrich ideals have the same minimal number of generators.
Cite
@article{arxiv.1507.04556,
title = {Ulrich ideals and almost Gorenstein rings},
author = {Shiro Goto and Ryo Takahashi and Naoki Taniguchi},
journal= {arXiv preprint arXiv:1507.04556},
year = {2016}
}
Comments
13 pages