We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

Publisher Summary Hopf algebras have been intensively studied and successfully applied
in various fields of mathematics and even physics, for more than 50 years. Hopf algebras are …

These lecture notes were originally written for a short course delivered in March 2017 at the
Atlantic Algebra Centre of the Memorial University of Newfoundland, Canada. It aimed to …

We construct a 'weak'version EMw (K) of Lack and Street's 2-category of monads in a 2-
category K, by replacing their compatibility constraint of 1-cells with the units of monads by …

We extend a theorem, originally formulated by Blattner–Cohen–Montgomery for crossed
products arising from Hopf algebras weakly acting on noncommutative algebras, to the …

The universal (co) acting bi/Hopf algebras introduced by Yu.\, I.~ Manin, M.~ Sweedler and
D.~ Tambara, the universal Hopf algebra of a given (co) module structure, as well as the …

We survey the extensions of a group by a group using crossed products instead of exact
sequences of groups. The approach has various advantages, one of them being that the …

The Chern-Galois theory is developed for corings or coalgebras over noncommutative rings.
First the notion of an entwined extension as an extension of algebras within a bijective …

In this work, the cohomology theory for partial actions of co-commutative Hopf algebras on
commutative algebras is formulated. This theory generalizes the cohomology theory for Hopf …

Let A be an algebra in a monoidal category \calC, and let X be an object in \calC. We study A-
(co) ring structures on the left A-module A⊗ X. These correspond to (co) algebra structures in …