On the regularity of join-meet ideals of modular lattices

TL;DR

This paper investigates the algebraic properties of join-meet ideals derived from modular non-distributive lattices, establishing bounds on their regularity and demonstrating their non-linear relations.

Contribution

It provides new bounds on the regularity of join-meet ideals and shows they are not linearly related, advancing understanding of their algebraic structure.

Findings

Lower bound for the regularity of join-meet ideals

Proof that these ideals are not linearly related

Insights into the algebraic complexity of modular lattices

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.