English

Finite lattices and Gr\"obner bases

Commutative Algebra 2011-09-20 v1

Abstract

Gr\"obner bases of binomial ideals arising from finite lattices will be studied. In terms of Gr\"obner bases and initial ideals, a characterization of finite distributive lattices as well as planar distributive lattices will be given.

Keywords

Cite

@article{arxiv.1109.4067,
  title  = {Finite lattices and Gr\"obner bases},
  author = {Jürgen Herzog and Takayuki Hibi},
  journal= {arXiv preprint arXiv:1109.4067},
  year   = {2011}
}
R2 v1 2026-06-21T19:07:13.268Z