The cocycle equation on periodic semigroups
type: Item
instance of: scholarly article
title: The cocycle equation on periodic semigroups
zbMATH Open document ID: 0921.39007
author: T. M. K. Davison
author: Bruce Ebanks
published in: Aequationes Mathematicae
publication date: 1999-09-15T00:00:00Z
review text: The main result offered by the authors is that all solutions, mapping the Cartesian square of an abelian periodic semigroup (one in which every element is of finite order) into a uniquely divisible abelian group, of the functional equation \(F(x,y)+F(xy,z)=F(xy,z)+F(y,z)\) are of the form \(F(x,y)=f(x)+f(y)-f(xy).\)
reviewed by: János Aczél
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 20M50
Mathematics Subject Classification ID: 18G99
zbMATH DE Number: 1295518
zbMATH Keywords: cocycle equation
zbMATH Keywords: coboundary
zbMATH Keywords: Cauchy difference
zbMATH Keywords: abelian periodic semigroups
zbMATH Keywords: uniquely divisible abelian groups
zbMATH Keywords: functional equations
MaRDI profile type: Publication
full work available at URL: s000100050057
OpenAlex ID: W1981186129
DOI: 10.1007/S000100050057
description: scientific article; zbMATH DE number 1295518