The form of multi-additive symmetric functions
type: Item
instance of: scholarly article
title: The form of multi-additive symmetric functions
zbMATH Open document ID: 1409.39016
author: Rafał Kucharski
author: Radosław ~Łukasik
published in: Results in Mathematics
publication date: 2018-10-25T00:00:00Z
review text: The main result of this paper is the characterization of multi-additive symmetric functions for quite general structures like abelian groups and semigroups in the form of a composition of an additive function with the product of additive functions. It is also shown that every two \(n\)-additive functions, defined on a product of groups, with equal counterimages of the positive half-line must be proportional.
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B05
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 6965776
zbMATH Keywords: multi-additive function
zbMATH Keywords: polynomial function
zbMATH Keywords: Fréchet equation
zbMATH Keywords: divisible group
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: s00025-018-0911-9
OpenAlex ID: W2896223628
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Wikidata QID: Q129056138
DOI: 10.1007/S00025-018-0911-9
description: scientific article; zbMATH DE number 6965776