Global sections of structure sheaves of Keigher rings
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- by Dmitry Trushin
- Proc. Amer. Math. Soc. 140 (2012), 505-511
- DOI: https://doi.org/10.1090/S0002-9939-2011-10932-8
- Published electronically: June 22, 2011
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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.References
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Bibliographic 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
- 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
Dedicated: This paper is dedicated to Jerald J. Kovacic