A note on weakly path-connected orthomodular lattices
Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 513-519
Eunsoon Park
Soongsil University
Abstract : 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 orthomodular lattice $L$ containing a weakly path-connected full subalgebra ${\bold C}(x)$ for some element $x$ in $L.$
Keywords : Orthomodular lattices, path-connected, weakly path-connected
MSC numbers : 06C15
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