A characterization of א1-free abelian groups and its application to the chase radical

Katsuya Eda

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Abstract

A group A is an א1-free abelian group iff A is a subgroup of the Boolean power Z(B) for some complete Boolean algebra B. The Chase radical vA=Σ{C≦A: Hom(C, Z)=0 &C is countable). The torsion class {A:vA=A} is not closed under uncountable direct products.

Original languageEnglish
Pages (from-to)22-30
Number of pages9
JournalIsrael Journal of Mathematics
Volume60
Issue number1
DOIs
Publication statusPublished - 1987 Feb
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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