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math.AC2026
Modular lattices and algebras with straightening laws
Takayuki Hibi, Seyed Amin Seyed Fakhari
The conjecture that every modular lattice is integral is disproved.
math.AC2026
Join-meet binomial algebras of distributive lattices
Barbara Betti, Takayuki Hibi
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 straight…
math.AC2025
A classification of van der Waerden complexes with linear resolution
Takayuki Hibi, Adam Van Tuyl
In 2017, Ehrenborg, Govindaiah, Park, and Readdy defined the van der Waerden complex to be the simplicial complex whose facets correspond to all the arithmetic seq…