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There are loops of order three in orthomodular lattices

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References

  1. G.Bruns and G.Kalmbach, Some Remarks on Free Orthomodular Lattices. Proc. Lattice Theory Conf., 397–408, Houston 1973.

  2. R. J. Greechie, Orthomodular Lattices Admitting No States. J. Comb. Theory10 (A), 119–132 (1971).

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  3. R. J.Greechie, Any Complete Atomic Orthomodular Lattice with Countable Many Atoms is a Sublattice of One Generated by Three Elements. J. Natur. Sci. Math. (1978).

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Dichtl, M. There are loops of order three in orthomodular lattices. Arch. Math 37, 285–286 (1981). https://doi.org/10.1007/BF01234357

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