. L O ] 2 3 M ay 1 99 4 SUBGROUPS OF THE BAER - SPECKER GROUP WITH FEW ENDOMORPHISMS BUT LARGE DUAL
نویسنده
چکیده
Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group Z0 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.
منابع مشابه
F U N D a M E N T a Mathematicae Subgroups of the Baer–specker Group with Few Endomorphisms but Large Dual
Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer–Specker group Zא0 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.
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