2 papers
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.AC2020
Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs
Seyed Amin Seyed Fakhari, Kosuke Shibata, Naoki Terai +1
We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macau…