A NOTE ON WEAKLY PATH-CONNECTED ORTHOMODULAR LATTICES
Eun-Soon Park · Communications of the Korean Mathematical Society · 1997
We show that each orthomodular lattice containing only atomic nonpath-connected blocks is a full subalgebra of an irreducible path-connected orthomodular lattice and there is a path-connected orthomodualr lattice L containing a weakly path-connected full subalgebra C(x) for some element x in L.