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Proceedings of the American Mathematical Society

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

 
 

 

$\mathrm {Ext}(A, T)$ as a module over $\mathrm {End}(T)$


Authors: S. A. Khabbaz and E. H. Toubassi
Journal: Proc. Amer. Math. Soc. 48 (1975), 269-275
MSC: Primary 20K05
DOI: https://doi.org/10.1090/S0002-9939-1975-0360865-4
MathSciNet review: 0360865
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Abstract: In this paper we show that for abelian groups $A$ and $T$, where $A$ is of finite rank and $T$ is torsion, the End $(T)$-module $\operatorname {Ext} (A,T)$ is finitely generated or is of finite rank.


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Keywords: Module of extensions, rank, finitely generated, classification, homological methods in group theory
Article copyright: © Copyright 1975 American Mathematical Society