On the regularity of join-meet ideals of modular lattices

2018/06/13 by Dinu, Rodica, Ene, Viviana, Hibi, Takayuki
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.05200

Abstract

We study join-meet ideals associated with modular non-distributive lattices. We give a lower bound for the regularity and show that they are not linearly related.

Related

• Regularity of joint-meet ideals of distributive lattices
• Minimal free resolution of Crystal module
• Total of each of the 1-th and 2-th Betti numbers of the join-meet ideal of Special Crystal Lattice
• The join-meet ideal of a finite lattice
• Finite distributive lattices, polyominoes and ideals of König type