Infinite Rank Butler Groups

DOI10.2307/2001044zbMath0641.20036OpenAlexW4233128018MaRDI QIDQ3781928

Manfred Dugas, Kulumani M. Rangaswamy

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001044

zbMATH Keywords

Butler groupspure subgroups\(B_ 2\)-groupstorsion extension propertyButler groups of uncountable rankdecent subgrouptorsionfree Abelian group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Subgroups of abelian groups (20K27)

Related Items

Butler groups of infinite rank, Almost Butler groups, A result on \(B_ 1\)-groups, Endomorphism rings of \(B_2\)-groups of infinite rank, Torsion-free modules of finite rank over a discrete valuation ring., Some properties of Butler modules over valuation domains, On abelian groups by which balanced extensions of a rational group split, Butler groups that are unions of subgroups with countable typesets, Abelian groups, Representations over PID’s with three distinguished submodules, Butler groups of infinite rank, Butler groups of arbitrary cardinality

Cites Work

• A characterization of countable Butler groups
• Abelian groups without elements of finite order
• Butler groups of infinite rank and axiom 3
• Balanced Subgroups of Abelian Groups
• Homological Algebra and Set Theory
• A Class of Torsion-Free Abelian Groups of Finite Rank
• A Solution to the Splitting Mixed Group Problem of Baer
• The fine structure of the constructible hierarchy
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