ABSTRACT
Let (P, ≤) be a locally finite partially ordered set. Given a commutative ring R with unity, an incidence function f : P × P → R is defined. https://www.w3.org/1998/Math/MathML"> A P https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351023344/b6c68d68-1226-4347-aaa8-58dfe0c0d0a9/content/eq315.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , the set of incidence functions on P × P is made a commutative ring with unity. A Möbius function µ belonging to https://www.w3.org/1998/Math/MathML"> A P https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351023344/b6c68d68-1226-4347-aaa8-58dfe0c0d0a9/content/eq316.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> is defined and it leads to a generalization of the classical Möbius inversion.
