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A characterisation of standard ideals. (English) Zbl 0139.01202

##### Keywords:
ordered sets, lattices
Full Text:
##### References:
 [1] G. Birkhoff, Lattice theory,Amer. Math. Soc. Coll. Publ.,25 (New York, 1948). · Zbl 0033.10103 [2] R. P. Dilworth, The structure of relatively complemented lattices,Annals of Math.,51 (1950), pp. 348–359. · Zbl 0036.01802 [3] N. Funayama andT. Nakayama, On the distributivity of a lattice of lattice-congruences.Proc. Imp. Acad. Tokyo,18 (1942), pp. 553–554. · Zbl 0063.01483 [4] G. Grātzer andE. T. Schmidt, Ideals and congruence relations in lattices.Acta Math. Acad. Sci. Hung.,9 (1958), pp. 137–175. · Zbl 0085.02002 [5] G. Grātzer andE. T. Schmidt, Standard ideals in lattices,Acta Math. Acad. Sci. Hung.,12 (1961), pp. 17–86. · Zbl 0115.01901 [6] P. R. Halmos,Introduction to Hilbert space and the theory of spectral multiplicity (New York, 1957). · Zbl 0079.12404 [7] F. Maeda,Kontinuierlichen Geometrien (Berlin, 1958). [8] O. Ore, Theory of equivalence relations,Duke Math. Journal,9 (1942), pp. 573–627. · Zbl 0060.06201
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