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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A class of pure subgroups of completely decomposable abelian groups


Author: David M. Arnold
Journal: Proc. Amer. Math. Soc. 41 (1973), 37-44
MSC: Primary 20K25
DOI: https://doi.org/10.1090/S0002-9939-1973-0325806-2
MathSciNet review: 0325806
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Abstract: Direct sum decompositions of the class of pure subgroups of finite rank completely decomposable torsion free abelian groups with typesets of cardinality at most 4 are considered. In certain cases, the indecomposable groups are classified, resulting in new proofs of several theorems by T. B. Cruddis.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0325806-2
Keywords: Torsion free abelian groups of finite rank, completely decomposable groups
Article copyright: © Copyright 1973 American Mathematical Society