The Möbius function on a unique factorization domain and application in an inverse cohesion problem
type: Item
instance of: scholarly article
title: The Möbius function on a unique factorization domain and application in an inverse cohesion problem
zbMATH Open document ID: 0805.11008
published in: Chinese Science Bulletin
publication date: 1995-02-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11Z05
zbMATH DE Number: 640470
zbMATH Keywords: inversion theorems
zbMATH Keywords: Möbius function for semigroups with unique factorization
zbMATH Keywords: Gaussian integers
author: Zhaodou Chen
author: Yanan Shen
author: Nan-Xian Chen
reviewed by: Bernd Richter
MaRDI profile type: Publication
Recommended article: Q3717052
Recommended article: On the Existence and Uniqueness of Solutions of Mobius Equations
Recommended article: Morphisms and inverse problems for Darboux integrating factors
Recommended article: On the Inversion Property of the Mobius’ μ-Function
Recommended article: On univalent functions in some Möbius invariant spaces
Recommended article: On some questions concerning a functional equation involving Möbius transformations
Recommended article: Q4009566
Recommended article: Q4671737
Recommended article: A Liouville theorem for Möbius invariant equations
Recommended article: Möbius's functional equation and Schur's lemma with applications to the complex unit disk
description: scientific article; zbMATH DE number 640470