REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS

Arnold, David; Mader, Adolf; Mutzbauer, Otto; SOLAK, EBRU

doi:10.1080/00927872.2012.738337

REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS

Arnold D., Mader A., Mutzbauer O., SOLAK E.

COMMUNICATIONS IN ALGEBRA, cilt.42, sa.3, ss.1287-1311, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42 Sayı: 3
Basım Tarihi: 2014
Doi Numarası: 10.1080/00927872.2012.738337
Dergi Adı: COMMUNICATIONS IN ALGEBRA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1287-1311
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Representations of posets in certain modules are used to find indecomposable almost completely decomposable torsion-free abelian groups. For a special class of almost completely decomposable groups we determine the possible ranks of indecomposable groups and show that the possible ranks are realized by indecomposable groups in the class.