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Proceedings of the American Mathematical Society

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

 

 

On torsion abelian groups quasi-projective over their endomorphism rings


Author: László Fuchs
Journal: Proc. Amer. Math. Soc. 42 (1974), 13-15
MSC: Primary 20K10
DOI: https://doi.org/10.1090/S0002-9939-1974-0323919-3
MathSciNet review: 0323919
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Abstract: It is shown that a torsion abelian group is quasi-projective over its endomorphism ring exactly if, for every prime p, its p-component is bounded or has an unbounded basic subgroup.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0323919-3
Keywords: Abelian torsion group, endomorphism ring, quasi-projective module
Article copyright: © Copyright 1974 American Mathematical Society