In this work we will treat, in particular, of the Hopf algebras and Hopf-Ore extensions. One of ours main goals is to prove a theorem that characterizes when a Hopf algebra R is a extension of Hopf-Ore of a Hopf algebra ...

We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. ...

We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. ...

We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we ...

We study the pointed or copointed liftings of Nichols algebras associated to affine racks and constant cocycles for any finite group admitting a principal YD-realization of these racks. In the copointed case we complete ...

We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional ...

Some Hopf algebras braided in the Yetter-Drinfeld modules category have an important role in the classification of pointed Hopf algebras. Our main goal in this work will be to characterize braided Hopf algebras in ...

We introduce and study new families of nite-dimensional Hopf algebras with the Chevalley property that are not pointed nor semisimple arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples ...

Our main goal is to study Hopf algebras and Galois objects, from the point of view of the polynomial identities, more precisely how these objects are distinguished by their polynomial H-identities. To this end we follow ...