3 papers
math.CO2025
On the structure of modular lattices -- Axioms for gluing
Dale R. Worley
This paper explores alternative statements of the axioms for lattice gluing, focusing on lattices that are modular, locally finite, and have finite covers, but may have infinite he…
math.HO2024
A survey of lattice properties: modular, Arguesian, linear, and distributive
Dale R. Worley
This is a survey of characterizations and relationships between some properties of lattices, particularly the modular, Arguesian, linear, and distributive properties, but also some…
math.CO2023
An extension of Birkhoff's representation theorem to infinite distributive lattices
Dale R. Worley
Birkhoff's representation theorem for finite distributive lattices states that any finite distributive lattice is isomorphic to the lattice of order ideals (lower sets) of the part…