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Representations of Posets and Indecomposable Torsion-Free Abelian Groups |
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| Authors: | David Arnold Otto Mutzbauer Ebru Solak |
| Affiliation: | 1. Department of Mathematics , Baylor University , Waco , Texas , USA;2. University Würzburg, Mathematisches Institut , Am Hubland , Würzburg , Germany;3. Department of Mathematics , Middle East Technical University , In?nü Bulvar? , Ankara , Turkey |
| Abstract: | 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. |
| Keywords: | Almost completely decomposable Indecomposable Representation |