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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Global sections of structure sheaves of Keigher rings
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by Dmitry Trushin PDF
Proc. Amer. Math. Soc. 140 (2012), 505-511 Request permission

Abstract:

Answering a question of J. Kovacic, we show that for any Keigher ring, its differential spectrum coincides with the differential spectrum of the ring of global sections of the structure sheaf. In particular, we obtain the answer for Ritt algebras, that is, differential rings containing the rational numbers.
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Additional Information
  • Dmitry Trushin
  • Affiliation: Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia 119991
  • Email: trushindima@yandex.ru
  • Received by editor(s): July 25, 2009
  • Received by editor(s) in revised form: December 5, 2010
  • Published electronically: June 22, 2011
  • Additional Notes: The author was partially supported by NSF grants CCF-0964875 and 0952591

  • Dedicated: This paper is dedicated to Jerald J. Kovacic
  • Communicated by: Bernd Ulrich
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 505-511
  • MSC (2000): Primary 12H05
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10932-8
  • MathSciNet review: 2846318