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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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Globalizations of partial actions on nonunital rings
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by Michael Dokuchaev, Ángel Del Río and Juan Jacobo Simón PDF
Proc. Amer. Math. Soc. 135 (2007), 343-352 Request permission

Abstract:

In this note we prove a criteria for the existence of a globalization for a given partial action of a group on an $s$-unital ring. If the globalization exists, it is unique in a natural sense. This extends the globalization theorem from Dokuchaev and Exel, 2005, obtained in the context of rings with $1.$
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Additional Information
  • Michael Dokuchaev
  • Affiliation: Departamento de Matemática, Universidade de São Paulo, Brazil
  • MR Author ID: 231275
  • ORCID: 0000-0003-1250-4831
  • Email: dokucha@ime.usp.br
  • Ángel Del Río
  • Affiliation: Departamento de Matemáticas, Universidad de Murcia, Spain
  • MR Author ID: 288713
  • Email: adelrio@um.es
  • Juan Jacobo Simón
  • Affiliation: Departamento de Matemáticas, Universidad de Murcia, Spain
  • Email: jsimon@um.es
  • Received by editor(s): April 26, 2005
  • Received by editor(s) in revised form: September 20, 2005
  • Published electronically: August 28, 2006
  • Additional Notes: This research was supported by Capes and Fapesp of Brazil, D.G.I. of Spain and Fundación Séneca of Murcia
  • Communicated by: Martin Lorenz
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 343-352
  • MSC (2000): Primary 16S99; Secondary 16S10, 16S34, 16S35
  • DOI: https://doi.org/10.1090/S0002-9939-06-08503-0
  • MathSciNet review: 2255280