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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Endomorphism rings and direct sums of torsion free abelian groups


Authors: D. M. Arnold and E. L. Lady
Journal: Trans. Amer. Math. Soc. 211 (1975), 225-237
MSC: Primary 20K30
DOI: https://doi.org/10.1090/S0002-9947-1975-0417314-1
MathSciNet review: 0417314
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Abstract: Properties of abelian groups related to a given finite rank torsion free abelian group A are analyzed in terms of End (A), the endomorphism ring of A. This point of view gives rise to generalizations of some classical theorems by R. Baer and examples of pathological direct sum decompositions of finite rank torsion free abelian groups.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0417314-1
Keywords: Strongly indecomposable groups, Krull-Schmidt property, quasi-isomorphism
Article copyright: © Copyright 1975 American Mathematical Society