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BIBTEX RIS

THE FULLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS

2001; Taylor & Francis; Volume: 29; Issue: 2 Linguagem: Inglês

10.1081/agb-100001532

ISSN

1532-4125

Autores

Gary F. Birkenmeier, Girgore Călugăreanu, L. Fuchs, H. Pat Goeters,

Tópico(s)

Advanced Topics in Algebra

Resumo

Abstract An abelian group has the FI-extending property if every fully invariant subgroup is essential in a direct summand. A mixed abelian group has the FI-extending property if and only if it is a direct sum of a torsion and a torsion-free abelian group, both with the FI-extending property. A full characterization is obtained for the abelian groups with the FI-extending property which are either torsion-free of finite rank or torsion. Keywords: Abelian groupFully invariantTorsionTorsion-freeIrreducibleRankMixed group ACKNOWLEDGMENT The paper was completed while the second named author was visiting Tulane University as a Fulbright fellow, Nr.22836. He expresses his thanks to the J. William Fulbright Foreign Scholarship Board and to Tulane University.

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