Simplicity of near-rings of continuous functions
type: Item
instance of: scholarly article
title: Simplicity of near-rings of continuous functions
zbMATH Open document ID: 0727.16031
DOI: 10.1007/BF01200041
author: Wolfgang Mutter
published in: Archiv der Mathematik
publication date: 1991-01-01T00:00:00Z
review text: Let N(G) denote the near-ring of all continuous selfmaps of a topological group G. In this paper we determine the locally compact topological groups G which have a simple near-ring N(G). It is shown that for a locally compact group G the near-ring N(G) is simple, if and only if G is not of order 2 and either contractible or totally disconnected.
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 22D05
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 4200432
zbMATH Keywords: near-ring of continuous selfmaps
zbMATH Keywords: locally compact topological groups
zbMATH Keywords: simple near-ring
MaRDI profile type: Publication
cites work: Simplicity of Near-Rings of Transformations
cites work: Q3867939
cites work: Q5545552
cites work: Asymptotic expansions of the discretization error of boundary value problems of the Laplace equation in rectangular domains
cites work: On some types of topological groups
cites work: Q3671335
full work available at URL: https://doi.org/10.1007/bf01200041
OpenAlex ID: W2019383898
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description: scientific article; zbMATH DE number 4200432