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 …

In this article, we introduce the notion of a partial action of a groupoid on a ring as well as we
give a criteria for the existence of a globalization of it. We construct a Morita context …

In the theory of C∗-algebras a concept of a partial action was introduced as an efficient tool
of their study, permitting to characterize various important classes of C∗-algebras as …

We introduce the class of epsilon-strongly graded rings and show that it properly contains
both the class of strongly graded rings and the class of unital partial crossed products. We …

Let $\mathcal {A} $ be a unital ring which is a product of possibly infinitely many
indecomposable rings. We establish a criteria for the existence of a globalization for a given …

Given a group G and a partial factor set σ of G, we introduce the twisted partial group
algebra κ par σ G, which governs the partial projective σ-representations of G into algebras …

This paper is a continuation of Dokuchaev and Novikov (2010)[8]. The interaction between
partial projective representations and twisted partial actions of groups considered in …

In this article we generalize a classical result by Passman on primeness of unital strongly
group graded rings to the class of nearly epsilon-strongly group graded rings which are not …

In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for
twisted partial group actions, partial Hopf actions and twisted actions of Hopf algebras. The …

Given a partial action α of a connected groupoid 𝒢 on an associative ring A we investigate
under what conditions the partial skew groupoid ring A⋆ α 𝒢 can be realized as a partial …