Incidence Functions

  • Martin Aigner
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 234)


After having computed the level numbers and the total number of elements of some important lattices in the last chapter we now consider counting functions and inversion formulae in an arbitrary poset. Our method of study will be to associate with the poset P an algebraic object called the incidence algebra A (P), and to investigate its structure and subobjects.


Rank Function Inversion Formula Maximal Chain Irreducible Element Finite Lattice 
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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Martin Aigner
    • 1
  1. 1.II. Institut für MathematikFreie Universität BerlinBerlin 33Federal Republic of Germany

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