Join-meet binomial algebras of distributive lattices

Fuente: arXiv
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Autores principales: Betti, Barbara, Hibi, Takayuki
Formato: Preprint
Publicado: 2026
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author Betti, Barbara
Hibi, Takayuki
author_facet Betti, Barbara
Hibi, Takayuki
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14506
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Join-meet binomial algebras of distributive lattices
Betti, Barbara
Hibi, Takayuki
Commutative Algebra
Combinatorics
06A11, 13H10, 13P10, 14M15
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.
title Join-meet binomial algebras of distributive lattices
topic Commutative Algebra
Combinatorics
06A11, 13H10, 13P10, 14M15
url https://arxiv.org/abs/2603.14506