Geodesic
An addendum and corrigendum to “Almost free splitters" (Colloq. Math. 81 (1999), 193–221)
Rüdiger Göbel 1   ; Saharon Shelah 2
1 Fachbereich 6 Mathematik und Informatik Universität Essen 45117 Essen, Germany
2 Hebrew University 91904 Jerusalem, Israel and Department of Mathematics Rutgers University New Brunswick, NJ 08854, U.S.A.
Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 155-158 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $R$ be a subring of the rational numbers ${\mathbb Q}$. We recall from \cite{GS2} that an $R$-module $G$ is a splitter if ${\rm Ext}^1_R(G,G) = 0$. In this note we correct the statement of Main Theorem 1.5 in \cite{GS2} and discuss the existence of non-free splitters of cardinality $\aleph_1$ under the negation of the special continuum hypothesis CH.
DOI : 10.4064/cm88-1-11
Keywords: subring rational numbers mathbb recall cite r module splitter ext note correct statement main theorem cite discuss existence non free splitters cardinality aleph under negation special continuum hypothesis

Rüdiger Göbel  1   ; Saharon Shelah  2

1 Fachbereich 6 Mathematik und Informatik Universität Essen 45117 Essen, Germany
2 Hebrew University 91904 Jerusalem, Israel and Department of Mathematics Rutgers University New Brunswick, NJ 08854, U.S.A. 
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Rüdiger Göbel; Saharon Shelah. An addendum and corrigendum to “Almost free splitters"
(Colloq. Math. 81 (1999), 193–221). Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 155-158. doi: 10.4064/cm88-1-11

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