Distributively generated trivial near-rings
type: Item
instance of: scholarly article
title: Distributively generated trivial near-rings
zbMATH Open document ID: 0905.16022
DOI: 10.1007/BF02907057
published in: Acta Mathematica Hungarica
publication date: 1998-11-22T00:00:00Z
review text: Let \(G\) be an additively written group, \(S\) a subset of \(G\) containing \(0\) and \(T(G,S)\) the trivial near-ring on \(G\) with multiplication \(ab=0\) if \(a\in S\) and \(ab=b\) if \(a\notin S\) for \(a,b\in G\). \(T(G,S)\) is a distributively generated near-ring if and only if \(S\) is a subgroup of \(G\) of index \(2\).
Mathematics Subject Classification ID: 16Y30
zbMATH DE Number: 1225533
zbMATH Keywords: distributively generated near-rings
zbMATH Keywords: indices of subgroups
author: Shalom Feigelstock
reviewed by: R. Wiegandt
MaRDI profile type: Publication
cites work: Q4032146
description: scientific article; zbMATH DE number 1225533