Almost Gorenstein simplicial semigroup rings
Commutative Algebra
2024-06-11 v1
Abstract
We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to simplicial semigroups with higher rank. By this criterion, we determine -dimensional normal semigroup rings which have ``Ulrich elements'' defined in [Herzog-Jafari-Stamate].
Cite
@article{arxiv.2406.05781,
title = {Almost Gorenstein simplicial semigroup rings},
author = {Kazufumi Eto and Naoyuki Matsuoka and Takahiro Numata and Kei-ichi Watanabe},
journal= {arXiv preprint arXiv:2406.05781},
year = {2024}
}