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Dichtl, Markus

There are loops of order three in orthomodular lattices. (English) Zbl 0473.06006

Arch. Math. 37, 285-286 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 5 Documents

MSC:

06C15 Complemented lattices, orthocomplemented lattices and posets

Keywords:

Greechie pasting (construction of orthomodular lattices); loop
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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. · Zbl 0439.06004
[2] R. J. Greechie, Orthomodular Lattices Admitting No States. J. Comb. Theory10 (A), 119-132 (1971). · Zbl 0219.06007 · doi:10.1016/0097-3165(71)90015-X
[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). · Zbl 0445.06008
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