Almost Gorenstein Hibi rings
Commutative Algebra
2017-05-23 v1
Abstract
In this paper, we state criteria of a Hibi ring to be level, non-Gorenstein and almost Gorenstein and to be non-level and almost Gorenstein in terms of the structure of the partially ordered set defining the Hibi ring. We also state a criterion of a ladder determinantal ring defined by 2-minors to be non-Gorenstein and almost Gorenstein in terms of the shape of the ladder.
Keywords
Cite
@article{arxiv.1705.07630,
title = {Almost Gorenstein Hibi rings},
author = {Mitsuhiro Miyazaki},
journal= {arXiv preprint arXiv:1705.07630},
year = {2017}
}