REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS

Date

2014-03-04

Author

Arnold, David
Mader, Adolf
Mutzbauer, Otto
Solak, Ebru

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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.

Subject Keywords

Almost completely decomposable, 16G60, Secondary 20K25, Primary 20K15, Representation, Indecomposable

URI

https://hdl.handle.net/11511/37327

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927872.2012.738337

Collections

Department of Mathematics, Article

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Citation Formats

D. Arnold, A. Mader, O. Mutzbauer, and E. Solak, “REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS,” COMMUNICATIONS IN ALGEBRA, pp. 1287–1311, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37327.