Globalizations of partial actions on nonunital rings

Dokuchaev, Michael; Del Río, Ángel; Simón, Juan

doi:10.1090/S0002-9939-06-08503-0

Globalizations of partial actions on nonunital rings
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by Michael Dokuchaev, Ángel Del Río and Juan Jacobo Simón

Proc. Amer. Math. Soc. 135 (2007), 343-352

DOI: https://doi.org/10.1090/S0002-9939-06-08503-0

Published electronically: August 28, 2006

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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 $s$-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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