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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 direct proof of the theorem on formal functions
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by Fernando Sancho de Salas and Pedro Sancho de Salas PDF
Proc. Amer. Math. Soc. 137 (2009), 4083-4088 Request permission

Abstract:

We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases.
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Additional Information
  • Fernando Sancho de Salas
  • Affiliation: Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain
  • MR Author ID: 621464
  • ORCID: 0000-0001-8915-2438
  • Email: fsancho@usal.es
  • Pedro Sancho de Salas
  • Affiliation: Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain
  • Email: sancho@unex.es
  • Received by editor(s): July 2, 2008
  • Received by editor(s) in revised form: April 26, 2009
  • Published electronically: July 30, 2009
  • Additional Notes: The first author was supported by research projects MTM2006-04779 (MEC) and SA001A07 (JCYL)
  • Communicated by: Ted Chinburg
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 4083-4088
  • MSC (2000): Primary 14A15; Secondary 14F99
  • DOI: https://doi.org/10.1090/S0002-9939-09-10015-1
  • MathSciNet review: 2538569