Abstract
Let \(\mathcal{OML}\) denote the class of all orthomodular lattices and \(\mathcal{C}\) denote the class of those that are commutator-finite. Also, let \(\mathcal{C}_{1}\) denote the class of orthomodular lattices that satisfy the block extension property, \(\mathcal{C}_{2}\) those that satisfy the weak block extension property, and \(\mathcal{C}_{3}\) those that are locally finite. We show that the following strict containments hold: \(\mathcal{C} \subset \mathcal{C}_{1} \subset \mathcal{C}_{2} \subset \mathcal{C}_{3} \subset \mathcal{OML}.\)
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Dedicated to the memory of Günter Bruns.
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Greechie, R.J., Legan, B.J. Three Classes of Orthomodular Lattices. Int J Theor Phys 45, 343–349 (2006). https://doi.org/10.1007/s10773-005-9022-y
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DOI: https://doi.org/10.1007/s10773-005-9022-y