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On the direct irreducibility of certain orthomodular lattices

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References

  1. G.Grätzer-E. T.Schmidt, Standard ideals in lattices,Acta Math. Acad. Sci. Hung. 12 (1961), 17–86.

    Article  Google Scholar 

  2. S. S.HollandJr., Distributivity and perspectivity in orthomodular lattices,Trans. Amer. Math. Soc. 112 (1964), 330–343.

    MATH  MathSciNet  Google Scholar 

  3. M. F.Janowitz, A characterization of standard ideals,Acta Math. Acad. Sci. Hung. 16 (1965), 289–301.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. F.Janowitz, On the modular relation in atomistic lattices,Fund. Math. 66 (1970), 337–346.

    MATH  MathSciNet  Google Scholar 

  5. G.Kalmbach,Orthomodular Lattices, Academic Press, New York 1983.

    Google Scholar 

  6. G.Kalmbach,Measures and Hilbert Lattices, World Scientific Publishing Co., Singapore 1986.

    Google Scholar 

  7. F.Maeda-S.Maeda,Theory of Symmetric Lattices, Springer-Verlag, Berlin 1970.

    Google Scholar 

  8. M.Petrich, Jacobson-type theorems for lattices,Agebra Universalis 2 (1972), 224–233.

    MATH  MathSciNet  Google Scholar 

  9. F. B.Wright, The ideals in a factor,Ann. of Math. 68 (1958), 475–483.

    MATH  MathSciNet  Google Scholar 

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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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