Lifting multiplicative lattices to ideal sytems

2024/01/25 by Dumitrescu, Tiberiu, Epure, Mihai, Gica, Alexandru
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.14001

Abstract

We present a mechanism which lifts a multiplicative lattice to a (weak) ideal system on some monoid.

Related

• Multiplicative lattices: maximal implies prime and related questions
• Lifting Monomial Ideals
• Minimal monomial ideals and linear resolutions
• Computing generating sets of lattice ideals
• Constructing monomial ideals with a given minimal resolution