Quasi-\(P\) radicals of associative rings
type: Item
instance of: scholarly article
title: Quasi-\(P\) radicals of associative rings
zbMATH Open document ID: 0797.16023
DOI: 10.1007/BF00051763
author: Ougen Xi
published in: Acta Mathematica Hungarica
publication date: 1993-04-01T00:00:00Z
review text: The author introduces the notions of quasi-\(P\) rings, quasi-\(P\) ideals and quasi-\(P\) radicals. He points out that if \(P\) is a property of rings, for instance, nilpotent property, local nilpotent property, nil property etc., then the corresponding radicals such as the quasi-nilpotent radical, quasi-local nilpotent radical, quasi-nil radical etc. can be obtained. He shows that a quasi-\(P\) radical of \(R\) is the same as a \(P\)- radical if \(P\) is a radical property. Moreover, all quasi-\(P\) radicals are Amitsur-Kurosh radicals. A number of results on radicals of associative rings are unified by quasi-radicals.
Mathematics Subject Classification ID: 16N80
Mathematics Subject Classification ID: 16N40
zbMATH DE Number: 149625
zbMATH Keywords: quasi-\(P\) rings
zbMATH Keywords: quasi-\(P\) ideals
zbMATH Keywords: quasi-\(P\) radicals
zbMATH Keywords: local nilpotent
zbMATH Keywords: radical property
zbMATH Keywords: Amitsur-Kurosh radicals
zbMATH Keywords: quasi-radicals
reviewed by: K. P. Shum
MaRDI profile type: Publication
cites work: Q3834200
cites work: Q3677903
description: scientific article; zbMATH DE number 149625