Irreducible orthomodular lattices which are simple
It is shown that an orthomodular lattice \(L\), in a variety generated by orthomodular lattices of height at most \(n\in\mathbb{N}\), is directly irreducible iff \(L\) is simple. The assumption cannot be weakened to generators of finite height.
scientific article; zbMATH DE number 165811
scientific article