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A characterization of ℵ1-free abelian groups and its application to the chase radical |
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| Authors: | Katsuya Eda |
| Institution: | (1) Institute of Mathematics, University of Tsukuba, Sakura-mura, 305 Ibaraki, Japan |
| Abstract: | A groupA is an ℵ1-free abelian group iffA is a subgroup of the Boolean power Z(B) for some complete Boolean algebraB. The Chase radicalvA=Σ{C≦A: Hom(C, Z)=0 &C is countable). The torsion class {A:vA=A} is not closed under uncountable direct products. |
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