References
G.Grätzer-E. T.Schmidt, Standard ideals in lattices,Acta Math. Acad. Sci. Hung. 12 (1961), 17–86.
S. S.HollandJr., Distributivity and perspectivity in orthomodular lattices,Trans. Amer. Math. Soc. 112 (1964), 330–343.
M. F.Janowitz, A characterization of standard ideals,Acta Math. Acad. Sci. Hung. 16 (1965), 289–301.
M. F.Janowitz, On the modular relation in atomistic lattices,Fund. Math. 66 (1970), 337–346.
G.Kalmbach,Orthomodular Lattices, Academic Press, New York 1983.
G.Kalmbach,Measures and Hilbert Lattices, World Scientific Publishing Co., Singapore 1986.
F.Maeda-S.Maeda,Theory of Symmetric Lattices, Springer-Verlag, Berlin 1970.
M.Petrich, Jacobson-type theorems for lattices,Agebra Universalis 2 (1972), 224–233.
F. B.Wright, The ideals in a factor,Ann. of Math. 68 (1958), 475–483.
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Stern, M. On the direct irreducibility of certain orthomodular lattices. Period Math Hung 24, 147–150 (1992). https://doi.org/10.1007/BF02330874
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DOI: https://doi.org/10.1007/BF02330874