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A recursion formula for finite partition lattices


Author: Terrence J. Brown
Journal: Proc. Amer. Math. Soc. 22 (1969), 124-126
MSC: Primary 05.04
MathSciNet review: 0241307
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References [Enhancements On Off] (What's this?)

  • [1] Garrett Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc., Providence, R. I., 1966.
  • [2] Roberto Frucht W. and Gian-Carlo Rota, The Möbius function for partitions of a set, Scientia (Valparaiso) No. 122 (1963), 111–115 (Spanish, with English summary). MR 0191828
  • [3] Gian-Carlo Rota, On the foundations of combinatorial theory. I. Theory of Möbius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 340–368 (1964). MR 0174487
  • [4] Gian-Carlo Rota, The number of partitions of a set, Amer. Math. Monthly 71 (1964), 498–504. MR 0161805
  • [5] M. P. Schützenberger, Contribution aux applications statistiques de la théorie de l’information, Publ. Inst. Statist. Univ. Paris 3 (1954), no. 1-2, 3–117 (French). MR 0077816

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DOI: https://doi.org/10.1090/S0002-9939-1969-0241307-3
Article copyright: © Copyright 1969 American Mathematical Society