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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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On the differential simplicity of affine rings
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by S. C. Coutinho and D. Levcovitz PDF
Proc. Amer. Math. Soc. 142 (2014), 1701-1704 Request permission

Abstract:

We prove that every complex regular affine ring is differentially simple relative to a set with only two derivations.
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Additional Information
  • S. C. Coutinho
  • Affiliation: Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil
  • Email: collier@dcc.ufrj.br
  • D. Levcovitz
  • Affiliation: Departamento de Matemática, USP-S. Carlos, 13560-970, São Carlos, SP, Brazil
  • Email: lev@icmc.usp.br
  • Received by editor(s): December 12, 2011
  • Received by editor(s) in revised form: June 21, 2012
  • Published electronically: February 17, 2014
  • Additional Notes: The work of the first author was partially supported by a grant from CNPq.
  • Communicated by: Irena Peeva
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 1701-1704
  • MSC (2010): Primary 37F75, 13N15; Secondary 37J30, 32C38, 32S65
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11652-2
  • MathSciNet review: 3168476