Endomorphism rings of \(B_2\)-groups of infinite rank
type: Item
instance of: scholarly article
title: Endomorphism rings of \(B_2\)-groups of infinite rank
zbMATH Open document ID: 0961.20044
DOI: 10.1007/BF02760926
author: Manfred Dugas
author: Rüdiger Göbel
published in: Israel Journal of Mathematics
publication date: 2001-05-29T00:00:00Z
Mathematics Subject Classification ID: 20K20
Mathematics Subject Classification ID: 20K30
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 1123740
zbMATH Keywords: categories of free Abelian groups
zbMATH Keywords: Butler groups of infinite rank
zbMATH Keywords: free additive groups
zbMATH Keywords: endomorphism rings
zbMATH Keywords: large superdecomposable Butler groups
MaRDI profile type: Publication
cites work: Q3792118
cites work: Butler groups with finite typesets and free groups with distinguished subgroups
cites work: Representations of finite posets and near-isomorphism of finite rank Butler groups
cites work: Butler groups of infinite rank and axiom 3
cites work: Q3140859
cites work: Q4723958
cites work: Endomorphism algebras of vector spaces with distinguished sets of subspaces
cites work: Endomorphism Rings of Vector Spaces and Torsion Free Abelian Groups
cites work: Q3661801
cites work: A Class of Torsion-Free Abelian Groups of Finite Rank
cites work: Torsion-Free Modules and Diagrams of Vector Spaces
cites work: Q3798883
cites work: Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
cites work: Q5564367
cites work: Fully rigid systems of modules
cites work: Prescribing Endomorphism Algebras, a Unified Treatment
cites work: Infinite Rank Butler Groups
cites work: Butler Groups of Infinite Rank II
cites work: The Functor Bext under the Negation of CH
cites work: Countable Butler groups and vector spaces with four distinguished subspaces
cites work: Every cotorsion-free algebra is an endomorphism algebra
cites work: Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings
cites work: Free modules with two distinguished submodules
cites work: Q5609457
cites work: Butler groups of arbitrary cardinality
cites work: Indecomposable Butler groups of large cardinalities
cites work: Q3140861
cites work: Independence in Completions and Endomorphism Algebras
cites work: Four submodules suffice for realizing algebras over commutative rings
cites work: Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type
cites work: Very decomposable Abelian groups
cites work: The Third Axiom of Countability for Abelian Groups
cites work: Q3140862
full work available at URL: https://doi.org/10.1007/bf02760926
OpenAlex ID: W2000437011
description: scientific article; zbMATH DE number 1123740