Stanley-Reisner rings for quasi-arithmetic matroids
Combinatorics
2017-09-13 v1 Commutative Algebra
Abstract
In this note we define a Stanley-Reisner ring for quasi-arithmetic matroids and more general structures. To this end, we define two types of CW complexes associated with a quasi-arithmetic matroid that generalize independence complexes of matroids. Then we use Stanley's construction of Stanley-Reisner rings for simplicial posets.
Cite
@article{arxiv.1709.03834,
title = {Stanley-Reisner rings for quasi-arithmetic matroids},
author = {Matthias Lenz},
journal= {arXiv preprint arXiv:1709.03834},
year = {2017}
}
Comments
14 pages, 4 figures