Recent developments around partial actions

M Dokuchaev - São Paulo Journal of Mathematical Sciences, 2019 - Springer
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 …

Isomorphism theorems for groupoids and some applications

J Ávila, V Marin, H Pinedo - International Journal of …, 2020 - Wiley Online Library
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 …

A Galois correspondence for Kβ-rings

C Garcia, T Tamusiunas - Journal of Algebra, 2024 - Elsevier
A Galois correspondence for Kβ-rings - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

Injectivity of the Galois map

J Pedrotti, T Tamusiunas - Bulletin of the Brazilian Mathematical Society …, 2023 - Springer
Injectivity of the Galois Map | SpringerLink Skip to main content Advertisement SpringerLink
Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Bulletin of the Brazilian …

Partial groupoid actions on -categories: Globalization and the smash product

V Marín, H Pinedo - Journal of Algebra and Its Applications, 2020 - World Scientific
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 …

On the Galois map for groupoid actions

A Paques, T Tamusiunas - Communications in Algebra, 2021 - Taylor & Francis
Some conditions for the Galois map to be injective are given in the groupoid acting on a
noncommutative ring context. In the particular case in which the Galois extension is a central …

Maximal ordered groupoids and a Galois correspondence for inverse semigroup orthogonal actions

WG Lautenschlaeger, T Tamusiunas - Applied Categorical Structures, 2023 - Springer
We introduce maximal ordered groupoids and study some of their properties. Also, we use
the Ehresmann–Schein–Nambooripad Theorem, which establishes a one-to-one …

Groupoid actions on sets, duality and a morita context

S Della Flora, D Flôres, A Morgado… - Communications in …, 2023 - Taylor & Francis
Let G and K be groupoids. We present the notion of a (G α, K β)-set and we prove a duality
theorem in this context, which extends the duality theorem for graded algebras by groups …

Descent and Galois theory for Hopf categories

S Caenepeel, T Fieremans - Journal of Algebra and its Applications, 2018 - World Scientific
Descent theory for linear categories is developed. Given a linear category as an extension of
a diagonal category, we introduce descent data, and the category of descent data is …

Globalization of Partial Actions of Ordered Groupoids on Rings

WG Lautenschlaeger, T Tamusiunas - arXiv preprint arXiv:2402.16758, 2024 - arxiv.org
We provide a necessary and sufficient condition to the existence of an ordered globalization
of a partial ordered action of an ordered groupoid on a ring and we also present criteria to …