The Möbius function on a unique factorization domain and application in an inverse cohesion problem
The authors invent the Möbius function for semigroups with unique factorization and show the standard theorems on inversion [see the reviewer, J. Reine Angew. Math. 266, 88-99 (1974; Zbl 0288.05007), for the definition and properties of these semigroups]. An example is given by the Möbius function of the multiplicative group of the Gaussian integers modulo units. It is applied to some function of mathematical physics.
Möbius function for semigroups with unique factorization
scientific article; zbMATH DE number 640470