Stable set rings which are Gorenstein on the punctured spectrum
Commutative Algebra
2021-11-30 v2 Combinatorics
Abstract
The non-Gorenstein locus of stable set rings of finite simple perfect graphs is studied. We describe combinatorially those perfect graphs whose stable set rings are Gorenstein on the punctured spectrum. In addition, we show that, in general, for Cohen--Macaulay graded algebras, their Cohen--Macaulay type and residue are largely independent.
Keywords
Cite
@article{arxiv.2108.09912,
title = {Stable set rings which are Gorenstein on the punctured spectrum},
author = {Takayuki Hibi and Dumitru I. Stamate},
journal= {arXiv preprint arXiv:2108.09912},
year = {2021}
}
Comments
v2: added more details in the exposition. To appear in Collectanea Mathematica. 6 pages