On algebras associated to partially ordered sets
交换代数
2021-05-18 v1 组合数学
摘要
We continue the study on sheaves of rings on finite posets. We present examples where the ring of global sections coincide with toric faces rings, quotients of a polynomial ring by a monomial ideal and algebras with straightening laws. We prove a rank-selection theorem which generalizes the well-known rank-selection theorem of Stanley-Reisner rings. Finally, we determine an explicit presentation of certain global rings of sections.
引用
@article{arxiv.math/0507372,
title = {On algebras associated to partially ordered sets},
author = {Morten Brun and Tim Roemer},
journal= {arXiv preprint arXiv:math/0507372},
year = {2021}
}
备注
14 pages