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

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 -