Globalizations of partial actions on nonunital rings

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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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2007-02, Vol.135 (2), p.343-352
Main Authors: DOKUCHAEV, Michael, DEL RIO, Angel, JACOBO SIMON, Juan
Format: Article
Language:English
Subjects:
Abstract algebra
Algebra
Associative rings and algebras
Exact sciences and technology
Globalization
Homomorphisms
Mathematical rings
Mathematical theorems
Mathematics
Operator algebras
Operator theory
Sciences and techniques of general use
Uniqueness
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-06-08503-0