REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS


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

COMMUNICATIONS IN ALGEBRA, cilt.42, ss.1287-1311, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/00927872.2012.738337
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.1287-1311

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.