Mathematics – Rings and Algebras
Scientific paper
2010-05-15
Mathematics
Rings and Algebras
A second version of the duality theorems of Blattner-Montgomery and Cohen-Montgomery is added. Paper to be published in Contem
Scientific paper
Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to prove the existence of enveloping actions, i.e., every partial Hopf action on a algebra A is induced by a Hopf action on a algebra B that contains A as a right ideal. This globalization theorem allows to extend several results from the theory of partial group actions to the Hopf algebraic setting. In this article, we prove a dual version of the globalization theorem: that every partial coaction of a Hopf algebra admits an enveloping coaction. We also show how this works on a series of examples which go beyond partial group actions. Finally, we explore some consequences of globalization theorems in order to present versions of the duality theorems of Cohen-Montgomery and Blattner-Montgomery for partial Hopf actions.
Alves Marcelo Muniz S.
Batista Eliezer
No associations
LandOfFree
Globalization theorems for partial Hopf (co)actions, and some of their applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Globalization theorems for partial Hopf (co)actions, and some of their applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Globalization theorems for partial Hopf (co)actions, and some of their applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-240827