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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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On finite $\Lambda$-submodules of Selmer groups of elliptic curves
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by Yoshitaka Hachimori and Kazuo Matsuno PDF
Proc. Amer. Math. Soc. 128 (2000), 2539-2541 Request permission

Abstract:

In this note, we give another proof of a result of R. Greenberg on the non-existence of non-trivial finite $\Lambda$-submodules of Selmer groups.
References
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Additional Information
  • Yoshitaka Hachimori
  • Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan
  • Email: yhachi@ms.u-tokyo.ac.jp
  • Kazuo Matsuno
  • Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan
  • Email: matsuno@ms.u-tokyo.ac.jp
  • Received by editor(s): October 15, 1998
  • Published electronically: March 1, 2000
  • Additional Notes: The second author was supported by JSPS Research Fellowships for Young Scientists.
  • Communicated by: David E. Rohrlich
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2539-2541
  • MSC (2000): Primary 11R23, 11G05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05452-6
  • MathSciNet review: 1690989