Partial (co)actions of Hopf algebras and partial Hopf-Galois theory

Details Partial (co)actions of Hopf algebras and partial Hopf-Galois theory Partial (co)actions of Hopf algebras and partial Hopf-Galois theory

2006-10-17

arxiv.org/abs/math/0610524v2

Mathematics

Rings and Algebras

22 pages

Scientific paper

We introduce partial (co)actions of a Hopf algebra $H$ on an algebra. To this
end, we introduce first the notion of lax coring, generalizing Wisbauer's
notion of weak coring. We also have the dual notion of lax ring. Several
duality results are given, and we develop Galois theory for partial
$H$-comodule algebras.

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