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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$\mathrm {Ext}(A, T)$ as a module over $\mathrm {End}(T)$
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by S. A. Khabbaz and E. H. Toubassi PDF
Proc. Amer. Math. Soc. 48 (1975), 269-275 Request permission

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.
References
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  • E. H. Toubassi, On the group of extensions, Acta Math. Acad. Sci. Hungar. 24 (1973), 87–92. MR 311802, DOI 10.1007/BF01894614
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • 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