On the number of realizations of a Hasse diagram by finite sets
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- by Abraham P. Hillman PDF
- Proc. Amer. Math. Soc. 6 (1955), 542-548 Request permission
References
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R. Dedekind, Über Zerlegungen von Zahlen durch ihre grössten gemeinsamen Teiler, Festschrift Techn. Hoch., Braunschweig, 1897, and Gesammelte Werke, vol. 2, pp. 103-148.
Th. Skolem, Om konstitutionen av den identiske kalkuls grupper, Third Scand. Math. Congr., 1913, pp. 149-163.
—Über gewisse “Verbände” oder “Lattices,” Avh. Norske Vid. Akad. Oslo (1936) pp. 1-16.
- Garrett Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1961. Revised ed. MR 0123490
- Randolph Church, Numerical analysis of certain free distributive structures, Duke Math. J. 6 (1940), 732–734. MR 2842 M. Ward, Bull. Amer. Math. Soc. Abstract 52-5-135.
Additional Information
- © Copyright 1955 American Mathematical Society
- 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