An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)

Rüdiger Göbel; Saharon Shelah

Colloquium Mathematicae (2001)

  • Volume: 88, Issue: 1, page 155-158
  • ISSN: 0010-1354

Abstract

top
Let R be a subring of the rational numbers ℚ. We recall from [3] that an R-module G is a splitter if E x t ¹ 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 ℵ₁ under the negation of the special continuum hypothesis CH.

How to cite

top

Rüdiger Göbel, and Saharon Shelah. "An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)." Colloquium Mathematicae 88.1 (2001): 155-158. <http://eudml.org/doc/283898>.

@article{RüdigerGöbel2001,
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 ℵ₁ under the negation of the special continuum hypothesis CH.},
author = {Rüdiger Göbel, Saharon Shelah},
journal = {Colloquium Mathematicae},
keywords = {self-splitting modules; criteria for freeness of modules; splitters; torsion-free Abelian groups},
language = {eng},
number = {1},
pages = {155-158},
title = {An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)},
url = {http://eudml.org/doc/283898},
volume = {88},
year = {2001},
}

TY - JOUR
AU - Rüdiger Göbel
AU - Saharon Shelah
TI - An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)
JO - Colloquium Mathematicae
PY - 2001
VL - 88
IS - 1
SP - 155
EP - 158
AB - 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 ℵ₁ under the negation of the special continuum hypothesis CH.
LA - eng
KW - self-splitting modules; criteria for freeness of modules; splitters; torsion-free Abelian groups
UR - http://eudml.org/doc/283898
ER -

NotesEmbed ?

top

You must be logged in to post comments.