Hereditary right Jacobson radical of type-\(0(e)\) for right near-rings.
type: Item
instance of: scholarly article
title: Hereditary right Jacobson radical of type-\(0(e)\) for right near-rings.
zbMATH Open document ID: 1163.16039
author: Ravi Srinivasa Rao
author: K. Siva Prasad
author: T. Srinivas
published in: Beiträge zur Algebra und Geometrie
publication date: 2009-03-16T00:00:00Z
full work available at URL: https://eudml.org/doc/224795
full work available at URL: 2.html
review text: The traditional approach to Jacobson radicals for (right) near-rings has always been via left representations, i.e. using left \(N\)-groups. For rings this left-right distinction is not important since both lead to the same radical, but for near-rings this is not the case. Only during the last number of years, Jacobson type radicals for near-rings using right representations have been defined and are being investigated. This paper is in this vein -- the authors define a Jacobson type radical for near-rings using a right representation. From a radical theoretic viewpoint the results are interesting and rewarding: a Kurosh-Amitsur radical with highly desirable properties is obtained. The contribution of these new notions to the structure theory of near-rings has not yet been addressed.
reviewed by: Stefan Veldsman
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16N80
Mathematics Subject Classification ID: 16N20
zbMATH DE Number: 5529353
zbMATH Keywords: right Jacobson radicals
zbMATH Keywords: near-rings
zbMATH Keywords: Kurosh-Amitsur radicals
zbMATH Keywords: hereditary radicals
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5529353