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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Algebra and Logicarrow_drop_down
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Algebra and Logic
Article . 1988 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1988
Data sources: zbMATH Open
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Endomorphism rings of abelian groups

Endomorphism rings of Abelian groups
Authors: Rychkov, S. V.;

Endomorphism rings of abelian groups

Abstract

Let k be a non-countable regular non-weakly compact cardinal. Assuming the axiom of constructibility V\(=L\) the author gives a construction of a family \(\{A_ i|\) \(i<2^ k\}\) of \(2^ k\) abelian torsion-free groups such that (i) any \(A_ i\) is of cardinality k and is k-separable (i.e. any subgroup of cardinality \(

Keywords

k-separable abelian group, endomorphism ring, pure subgroup, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Endomorphism rings; matrix rings, Torsion-free groups, infinite rank, regular cardinal, Direct sums, direct products, etc. for abelian groups, endomorphisms, abelian torsion-free groups, \(V=L\), completely decomposable direct summand

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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