Global sections of structure sheaves of Keigher rings

Author:
Dmitry Trushin

Journal:
Proc. Amer. Math. Soc. **140** (2012), 505-511

MSC (2000):
Primary 12H05

DOI:
https://doi.org/10.1090/S0002-9939-2011-10932-8

Published electronically:
June 22, 2011

MathSciNet review:
2846318

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9939-2011-10932-8

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

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.