Orthomodular Lattices Which can be Covered by Finitely Many Blocks
Günter Bruns, Richard J. Greechie · Canadian Journal of Mathematics · 1982
In our paper [3] we considered four nniteness conditions for an orthomodular lattice (abbreviated: OML) L and conjectured their equivalence. The only question left open in that paper was whether an OML L which can be covered by finitely many blocks (maximal Boolean subalgebras) has only finitely many blocks. In this paper we give an affirmative answer to this question, in fact, we prove the slightly stronger result: