Abelian groups with small cotorsion images
1991 ◽
Vol 50
(2)
◽
pp. 243-247
◽
Keyword(s):
AbstractEpimorphic images of compact (algebraically compact) abelian groups are called cotorsion groups after Harrison. In a recent paper, Ph. Schultz raised the question whether “cotorsion” is a property which can be recognized by its small cotorsion epimorphic images: If G is a torsion-free group such that every torsion-free reduced homomorphic image of cardinality is cotorsion, is G necessarily cortorsion? In this note we will give some counterexamples to this problem. In fact, there is no cardinal k which is large enough to test cotorsion.
1977 ◽
Vol 17
(3)
◽
pp. 401-417
◽
2001 ◽
Vol 64
(2)
◽
pp. 255-263
Keyword(s):
1994 ◽
Vol 50
(2)
◽
pp. 177-195
◽
Keyword(s):
2019 ◽
Vol 12
(2)
◽
pp. 590-604
2008 ◽
Vol 51
(1)
◽
pp. 201-214
2008 ◽
Vol 144
(2)
◽
pp. 329-336
◽
Keyword(s):
1987 ◽
Vol 108
(1)
◽
pp. 116-126
◽
1965 ◽
Vol 9
(1)
◽
pp. 66-86
◽