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 …

Using an algebraic point of view we present an introduction to the groupoid theory; that is,
we give fundamental properties of groupoids as uniqueness of inverses and properties of …

In this paper we introduce the notion of partial action of a weak Hopf algebra on algebras,
unifying the notions of partial group action [11], partial Hopf action [2],[3],[9] and partial …

arXiv:1312.0235v1 [math.RA] 1 Dec 2013 Page 1 arXiv:1312.0235v1 [math.RA] 1 Dec 2013
A GALOIS-GROTHENDIECK-TYPE CORRESPONDENCE FOR GROUPOID ACTIONS …

In this paper, we introduce the concept of partial groupoid actions on R-semicategories as
well as we give criteria for existence of a globalization of it. This point of view is a …

Neste trabalho, apresentamos uma teoria de Galois para ação de grupoides sobre aneis
não necessariamente comutativos. Apresentamos dois teoremas de correspondencia, um …

In this paper, we present a generalization of well-established results regarding symmetries
of $\Bbbk $-algebras, where $\Bbbk $ is a field. Traditionally, for a $\Bbbk $-algebra $ A …

The main purpose of this paper is to unify the theory of actions of Hopf algebras, weak Hopf
algebras and multiplier Hopf algebras to one of actions of weak multiplier Hopf algebras …

Let R be an associative ring and e, f idempotent elements of R. In this paper we introduce
the notion of (e, f)-invertibility for an element of R and use it to define inner actions of weak …

In this paper, we are interested in some natural consequences arising from the canonical
duality relation between the concepts of groupoid grading and groupoid action. Any algebra …