Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896018 | Journal of Algebra | 2018 | 30 Pages |
Abstract
An indecomposable decomposition of a torsion-free abelian group G of rank n is a decomposition G=A1ââ¯âAt where each Ai is indecomposable of rank ri, so that âiri=n is a partition of n. The group G may have indecomposable decompositions that result in different partitions of n. We address the problem of characterizing those sets of partitions of n which can arise from indecomposable decompositions of a torsion-free abelian group.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adolf Mader, Phill Schultz,