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ISSN 1088-6826(e) ISSN 0002-9939(p)

Globalizations of partial actions on nonunital rings

Author(s): Michael Dokuchaev; Ángel Del Río; Juan Jacobo Simón
Journal: Proc. Amer. Math. Soc. 135 (2007), 343-352.
MSC (2000): Primary 16S99; Secondary 16S10, 16S34, 16S35
Posted: August 28, 2006
MathSciNet review: 2255280
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Abstract: In this note we prove a criteria for the existence of a globalization for a given partial action of a group on an -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

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Additional Information:

Michael Dokuchaev
Affiliation: Departamento de Matemática, Universidade de São Paulo, Brazil
Email: dokucha@ime.usp.br

Ángel Del Río
Affiliation: Departamento de Matemáticas, Universidad de Murcia, Spain
Email: adelrio@um.es

Juan Jacobo Simón
Affiliation: Departamento de Matemáticas, Universidad de Murcia, Spain
Email: jsimon@um.es

DOI: 10.1090/S0002-9939-06-08503-0
PII: S 0002-9939(06)08503-0
Received by editor(s): April 26, 2005
Received by editor(s) in revised form: September 20, 2005
Posted: 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 of article: Copyright 2006, American Mathematical Society

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