3 papers
math.LO2023
Direct and ordinal products realized by triangular norm operators with no zero divisors
Joseph McDonald
IIn this note we continue the work of Chon, as well as Mezzomo, Bedregal, and Santiago, by studying algebraic operations on fuzzy posets and bounded fuzzy lattices. We first prove…
math.LO2022
Topological duality for orthomodular lattices
Joseph McDonald, Katalin Bimbó
A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthom…
math.LO2020
Choice-free duality for orthocomplemented lattices by means of spectral spaces
Joseph McDonald, Kentaro Yamamoto
The existing topological representation of an orthocomplemented lattice via the clopen orthoregular subsets of a Stone space depends upon Alexander's Subbase Theorem, which asserts…