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Orthomodular Lattices Which can be Covered by Finitely Many Blocks
Published online by Cambridge University Press: 20 November 2018
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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:
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- Copyright © Canadian Mathematical Society 1982
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