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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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A non-finitely generated algebra of Frobenius maps
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by Mordechai Katzman PDF
Proc. Amer. Math. Soc. 138 (2010), 2381-2383 Request permission

Abstract:

This paper describes an Artinian module over a ring of prime characteristic whose algebra of Frobenius maps is not finitely generated. This settles a question raised by Lyubeznik and Smith.
References
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Additional Information
  • Mordechai Katzman
  • Affiliation: Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom
  • Email: M.Katzman@sheffield.ac.uk
  • Received by editor(s): June 5, 2009
  • Received by editor(s) in revised form: December 16, 2009
  • Published electronically: March 11, 2010
  • Communicated by: Bernd Ulrich
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2381-2383
  • MSC (2010): Primary 13A35, 13E10
  • DOI: https://doi.org/10.1090/S0002-9939-10-10336-0
  • MathSciNet review: 2607867