Gr\"obner bases and Betti numbers of monoidal complexes
Commutative Algebra
2021-05-18 v1 Combinatorics
Abstract
In this note we consider monoidal complexes and their associated algebras, called toric face rings. These rings generalize Stanley-Reisner rings and affine monoid algebras. We compute initial ideals of the presentation ideal of a toric face ring, and determine its graded Betti numbers. Our results generalize celebrated theorems of Hochster in combinatorial commutative algebra.
Cite
@article{arxiv.0707.4527,
title = {Gr\"obner bases and Betti numbers of monoidal complexes},
author = {Winfried Bruns and Robert Koch and Tim Roemer},
journal= {arXiv preprint arXiv:0707.4527},
year = {2021}
}
Comments
18 pages