Particle lattices and fuzzy particle lattices
Let L be a lattice with at least two elements. A non-zero element p in L is called irreducible if \(p\leq B\vee C\) implies \(p\leq B\) or \(p\leq C\). In the paper under review, irreducible elements are called particles. The author considers the lattices generated by particles. The paper establishes representation theorems for such lattices; several relations with well-known lattice theoretic concepts are also given.
scientific article; zbMATH DE number 4112663