Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 1, pp. 137-146 (2006)
A note on extending Hopf actions to rings of quotients of module algebras
Christian LompCentro de Matemática da Universidade do Porto, R. Campo Alegre 687, 4169-007 Porto, Portugal
Abstract: Given a Hopf algebra $H$ and an $H$-module algebra $A$ it is often important to be able to extend the $H$-action from $A$ to a localisation of $A$. In this paper we discuss sufficient conditions to extend Hopf actions as well as to characterise those localisations where the action can be extended. Our particular interest lies in the maximal ring of quotients of $A$.
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Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.