Splitting kernels into small summands |
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Authors: | Gábor Braun Rüdiger Göbel |
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Institution: | 1.Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences,Budapest,Hungary;2.Fakult?t für Mathematik,Universit?t Duisburg-Essen Campus Essen,Essen,Germany |
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Abstract: | Let λ be a regular cardinal. An epimorphism between abelian groups is λ
-pure if it is projective with respect to abelian groups of size less than λ. We show that cotorsion groups A have λ-pure projective dimension greater than 1 for all uncountable λ ≤ |A/tA|, where tA denotes the torsion subgroup of A. For λ > |A/tA|, cotorsion groups A are λ-pure projective. |
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