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.