Geodesic
Subgroups of the Baer–Specker group with few endomorphisms but large dual
Fundamenta Mathematicae, Tome 149 (1996) no. 1, pp. 19-29.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group $ℤ^{ℵ_0}$ with the following properties. Every endomorphism of G differs from a scalar multiplication by an endomorphism of finite rank. Yet G has uncountably many homomorphisms to ℤ.
DOI : 10.4064/fm-149-1-19-29

Andreas Blass 1 ; Rüdiger Göbel 1

1 
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Andreas Blass; Rüdiger Göbel. Subgroups of the Baer–Specker group with few endomorphisms but large dual. Fundamenta Mathematicae, Tome 149 (1996) no. 1, pp. 19-29. doi : 10.4064/fm-149-1-19-29. http://geodesic.mathdoc.fr/articles/10.4064/fm-149-1-19-29/

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