Strict radicals and endomorphism rings.
type: Item
instance of: scholarly article
title: Strict radicals and endomorphism rings.
zbMATH Open document ID: 1207.16019
author: Barry J. Gardner
published in: Acta Mathematica Hungarica
publication date: 2011-02-08T00:00:00Z
review text: In the present paper the author considers ring radicals which are defined by some classes of modules whose additive groups are in fixed classes of Abelian groups. The results are interesting and they establish interesting connections between ring theory and Abelian group theory.
reviewed by: Simion Sorin Breaz
Mathematics Subject Classification ID: 16N80
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 20K30
zbMATH DE Number: 5848545
zbMATH Keywords: ring radicals
zbMATH Keywords: classes of modules
zbMATH Keywords: upper radicals
zbMATH Keywords: endomorphism rings of Abelian groups
zbMATH Keywords: strict radicals
zbMATH Keywords: special radicals
zbMATH Keywords: additive groups
MaRDI profile type: Publication
full work available at URL: s10474-009-8210-2
OpenAlex ID: W2091204915
cites work: Q3285693
cites work: Q5513081
cites work: Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
cites work: On torsion classes of Abelian groups
cites work: Nil R-Mod Abelian Groups
cites work: Every Cotorsion-Free Ring is an Endomorphism Ring
cites work: Q5609457
cites work: Q3985065
cites work: Q4948436
cites work: Injectives for ring isomorphisms with accessible images, ii
cites work: Q4438877
cites work: A Note on Modules and Radicals
cites work: Q5734501
cites work: Near-ring radicals depending only on the additive groups
cites work: A completion functor on modules and algebras
cites work: On abelian groups with commutative endomorphism ring
DOI: 10.1007/S10474-009-8210-2
description: scientific article; zbMATH DE number 5848545