Distributive elements and endomorphisms of a near-ring
type: Item
instance of: scholarly article
title: Distributive elements and endomorphisms of a near-ring
zbMATH Open document ID: 0633.16018
DOI: 10.1007/BF01313491
author: Stefania De Stefano
author: Simonetta Di Sieno
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: Let N be a right zero-symmetric near-ring with identity. In this note the following are proved to be equivalent: i) the distributive part \(N_ d\) of N is a ring; ii) \((N,+)\) is abelian; iii) the left near-ring Ass(N) associated to N is a ring. Besides N is shown to be a faithful, monogenic and unitary right Ass(N)-group whose centralizer is isomorphic to the monoid \((N_ d,\cdot)\).
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 4029782
zbMATH Keywords: right zero-symmetric near-ring
zbMATH Keywords: distributive part
zbMATH Keywords: left near-ring
zbMATH Keywords: centralizer
MaRDI profile type: Publication
cites work: Q4405046
cites work: Q4726422
cites work: Q3671335
description: scientific article; zbMATH DE number 4029782