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M-distributive lattices. (English) Zbl 0519.06005


MSC:

06B15 Representation theory of lattices
06B23 Complete lattices, completions
06D10 Complete distributivity
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References:

[1] R.Balbes and P.Dwinger, Distributive lattices. University of Missouri Press 1974.
[2] H.-J. Bandelt, The tensor product of continuous lattices. Math. Z.172, 89–96 (1980). · Zbl 0424.06003 · doi:10.1007/BF01182783
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[9] G.Gierz, K. H.Hofmann, K.Keimel, J. D.Lawson, M.Mislove and D. S.Scott, A compendium of continuous lattices. Berlin-Heidelberg-New York 1980. · Zbl 0452.06001
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[12] S. Papert, Which distributive lattices are lattices of closed sets ? Proc. Cambridge Phil. Soc.55, 172–176 (1959). · Zbl 0178.33703 · doi:10.1017/S0305004100033855
[13] G. N. Raney, Completely distributive lattices. Proc. Amer. Math. Soc.3, 677–680 (1952). · Zbl 0049.30304 · doi:10.1090/S0002-9939-1952-0052392-3
[14] G. N. Raney, A subdirect-union representation for completely distributive complete lattices. Proc. Amer. Math. Soc.4, 518–522 (1953). · Zbl 0053.35201 · doi:10.1090/S0002-9939-1953-0058568-4
[15] G. N. Raney, Tight Galois connections and complete distributivity. Trans. Amer. Math. Soc.97, 418–426 (1960). · Zbl 0098.02703 · doi:10.1090/S0002-9947-1960-0120171-3
[16] D. S. Scott, Continuous lattices, In: Toposes, algebraic geometry and logic. LNM274, 97–136, Berlin-Heidelberg-New York 1972.
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