Join-meet binomial algebras of distributive lattices
Commutative Algebra
2026-03-18 v1 Combinatorics
Abstract
We investigate the defining ideal of the algebra over a field generated by the join-meet binomials coming from a finite distributive lattice. In the frame of algebras with straightening laws, the problem when the defining ideal is generated by quadrics is studied.
Cite
@article{arxiv.2603.14506,
title = {Join-meet binomial algebras of distributive lattices},
author = {Barbara Betti and Takayuki Hibi},
journal= {arXiv preprint arXiv:2603.14506},
year = {2026}
}
Comments
12 pages, 7 figures