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On the number of realizations of a Hasse diagram by finite sets


Author: Abraham P. Hillman
Journal: Proc. Amer. Math. Soc. 6 (1955), 542-548
MSC: Primary 06.0X
DOI: https://doi.org/10.1090/S0002-9939-1955-0074380-6
MathSciNet review: 0074380
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References [Enhancements On Off] (What's this?)

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  • [2] Th. Skolem, Om konstitutionen av den identiske kalkuls grupper, Third Scand. Math. Congr., 1913, pp. 149-163.
  • [3] -Über gewisse ``Verbände'' oder ``Lattices,'' Avh. Norske Vid. Akad. Oslo (1936) pp. 1-16.
  • [4] G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, 1940. MR 0123490 (23:A815)
  • [5] R. Church, Numerical analysis of certain free distributive structures, Duke Math. J. vol. 6 (1940) pp. 732-734. MR 0002842 (2:120c)
  • [6] M. Ward, Bull. Amer. Math. Soc. Abstract 52-5-135.

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DOI: https://doi.org/10.1090/S0002-9939-1955-0074380-6
Article copyright: © Copyright 1955 American Mathematical Society

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