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REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS
Date
2014-03-04
Author
Arnold, David
Mader, Adolf
Mutzbauer, Otto
Solak, Ebru
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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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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.