A criterion for reflexivity of modules
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- by Naoki Endo and Shiro Goto;
- Proc. Amer. Math. Soc. 152 (2024), 5007-5011
- DOI: https://doi.org/10.1090/proc/16977
- Published electronically: October 10, 2024
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Abstract:
Let $M$ be a finitely generated module over a ring $\Lambda$. With certain mild assumptions on $\Lambda$, it is proven that $M$ is a reflexive $\Lambda$-module, once $M \cong M^{**}$ as $\Lambda$-modules.References
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Bibliographic Information
- Naoki Endo
- Affiliation: School of Political Science and Economics, Meiji University, 1-9-1 Eifuku, Suginami-ku, Tokyo 168-8555, Japan
- MR Author ID: 1086482
- ORCID: 0000-0001-9343-7161
- Email: endo@meiji.ac.jp
- Shiro Goto
- Affiliation: Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki 214-8571, Japan
- MR Author ID: 192104
- Email: shirogoto@gmail.com
- Received by editor(s): December 22, 2021
- Received by editor(s) in revised form: February 4, 2024
- Published electronically: October 10, 2024
- Additional Notes: The first author was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 23K03058. The second author was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 21K03211.
The second author passed away on July 26, 2022. - Communicated by: Jerzy Weyman
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 5007-5011
- MSC (2020): Primary 13C13, 13D30, 13C12
- DOI: https://doi.org/10.1090/proc/16977