NDLI: Balanced Subgroups of Finite Rank Completely Decomposable Abelian Groups

Content Provider	Scilit
Author	Nongxa, Loyiso G.
Copyright Year	1987
Description	It is proved that, if a finite rank completely decomposable group has extractable typeset of cardinality at most 5, all its balanced subgroups are also completely decomposable. Balanced Butler groups with extractable typeset of size at most 3 are almost completely decomposable and decompose into rank 1 and/or rank 3 indecomposable summands. We also construct an indecomposable balanced Butler group whose extractable typeset is of size 4 which fails to be almost completely decomposable.
Related Links	https://www.ams.org/tran/1987-301-02/S0002-9947-1987-0882707-3/S0002-9947-1987-0882707-3.pdf
Ending Page	648
Page Count	12
Starting Page	637
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2000662
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	301
Language	English
Publisher	Duke University Press
Publisher Date	1987-06-01
Access Restriction	Open
Subject Keyword	Logic Rank Completely Finite Rank Completely Decomposable Indecomposable Fails Cardinality Summands
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Balanced Subgroups of Finite Rank Completely Decomposable Abelian Groups