2014/03/06 by Batista, Eliezer, Vercruysse, Joost
#16S35 #16S40 #16T05 #16W50 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1403.1399
The duality between partial actions (partial H-module algebras) and co-actions (partial H-comodule algebras) of a Hopf algebra H is fully explored in this work. A connection between partial (co)actions and Hopf algebroids is established under certain commutativity conditions. Moreover, we continue this duality study, introducing also partial H-module coalgebras and their associated C-rings, partial H-comodule coalgebras and their associated cosmash coproducts, as well as the mutual interrelations between these structures.