On toric face rings
Commutative Algebra
2021-05-18 v2 Combinatorics
Abstract
Following a construction of Stanley we consider toric face rings associated to rational pointed fans. This class of rings is a common generalization of the concepts of Stanley--Reisner and affine monoid algebras. The main goal of this article is to unify parts of the theories of Stanley--Reisner- and affine monoid algebras. We consider (non-pure) shellable fan's and the Cohen--Macaulay property. Moreover, we study the local cohomology, the canonical module and the Gorenstein property of a toric face ring.
Keywords
Cite
@article{arxiv.math/0605150,
title = {On toric face rings},
author = {Bogdan Ichim and Tim Roemer},
journal= {arXiv preprint arXiv:math/0605150},
year = {2021}
}
Comments
22 pages; Revised version of the paper