The fully invariant extending property for abelian groups

Authors
Birkenmeier, GF Calugareanu, G Fuchs, L Goeters, HP
Citation
Gf. Birkenmeier et al., The fully invariant extending property for abelian groups, COMM ALGEB, 29(2), 2001, pp. 673-685
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
2
Year of publication
2001
Pages
673 - 685
Database
ISI
SICI code
0092-7872(2001)29:2<673:TFIEPF>2.0.ZU;2-1
Abstract
An abelian group has the FI-extending property if every fully invariant sub group is essential in a direct summand. A mixed abelian group has the FI-ex tending property if and only if it is a direct sum of a torsion and a torsi on-free abelian group, both with the FI-extending property. A full characte rization is obtained for the abelian groups with the FI-extending property which are either torsion-free of finite rank or torsion.