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Séminaire Lotharingien de Combinatoire, B15f (1986).

[Formerly: Publ. I.R.M.A. Strasbourg, 1987, 340/S-15, p.
51-65.]

# Arne Dür

# Möbius-Funktionen, Inzidenzalgebren und Potenzreihendarstellungen

**Abstract.**
"Möbius functions" appear in different forms in
combinatorics. The algebraic setting for the "Möbius
inversion" is the "incidence algebra". We survey a general
theory of incidence algebras, and indicate several applications.

The paper has been finally published as the book
"Möbius functions, incidence algebras and power series
representations",
*Lecture Notes in Mathematics*, 1202.
Springer-Verlag, Berlin, 1986. xii+134 pp.