Bibliography
G. Birkhoff, Lattice theory,Amer. Math. Soc. Coll. Publ.,25 (New York, 1948).
R. P. Dilworth, The structure of relatively complemented lattices,Annals of Math.,51 (1950), pp. 348–359.
N. Funayama andT. Nakayama, On the distributivity of a lattice of lattice-congruences.Proc. Imp. Acad. Tokyo,18 (1942), pp. 553–554.
G. Grātzer andE. T. Schmidt, Ideals and congruence relations in lattices.Acta Math. Acad. Sci. Hung.,9 (1958), pp. 137–175.
G. Grātzer andE. T. Schmidt, Standard ideals in lattices,Acta Math. Acad. Sci. Hung.,12 (1961), pp. 17–86.
P. R. Halmos,Introduction to Hilbert space and the theory of spectral multiplicity (New York, 1957).
F. Maeda,Kontinuierlichen Geometrien (Berlin, 1958).
O. Ore, Theory of equivalence relations,Duke Math. Journal,9 (1942), pp. 573–627.
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Research supported by the National Science Foundation, Grant GP-1816.
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Janowitz, M.F. A characterisation of standard ideals. Acta Mathematica Academiae Scientiarum Hungaricae 16, 289–301 (1965). https://doi.org/10.1007/BF01904837
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DOI: https://doi.org/10.1007/BF01904837