An addendum and corrigendum to “almost free splitters”

Rüdiger Göbel; Saharon Shelah

doi:10.4064/cm88-1-11

An addendum and corrigendum to “almost free splitters”

Rüdiger Göbel
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Let R be a subring of the rational numbers ℚ. We recall from [3] that an R-module G is a splitter if Ext¹_R(G,G) = 0. In this note we correct the statement of Main Theorem 1.5 in [3] and discuss the existence of non-free splitters of cardinality ℵ₁under the negation of the special continuum hypothesis CH.

Original language	English
Pages (from-to)	155-158
Number of pages	4
Journal	Colloquium Mathematicum
Volume	88
Issue number	1
DOIs	https://doi.org/10.4064/cm88-1-11
State	Published - 2001

Bibliographical note

Publisher Copyright:
© 2001, Instytut Matematyczny. All rights reserved.

Keywords

Criteria for freeness of modules
Self-splitting modules

Access to Document

10.4064/cm88-1-11

Cite this

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KW - Self-splitting modules

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An addendum and corrigendum to “almost free splitters”

Abstract

Bibliographical note

Keywords

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Almost free splitters

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An addendum and corrigendum to “almost free splitters”

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

Almost free splitters

Cite this