2 papers
math.RA2026
Regular Sublattices, O Closed Ideals and Dedekind MacNeille Completions
Kevin Abela, Emmanuel Chetcuti
We study the behaviour of regular sublattices of infinitely distributive lattices under completion. Using order convergence, we associate with an infinitely distributive lattice \(…
math.FA2024
Unbounded order convergence on infinitely distributive lattices
Abela Kevin, Chetcuti Emmanuel
We study uO convergence on infinitely distributive lattices, extending key properties known from Riesz spaces. We show that order continuity of uO convergence characterizes infinit…