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 …
attention to some recent developments on diverse aspects of the theory, such as partial …
Partial groupoid actions: globalization, Morita theory, and Galois theory
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 …
give a criteria for the existence of a globalization of it. We construct a Morita context …
Partial actions: a survey
M Dokuchaev - Contemp. Math, 2011 - books.google.com
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 …
of their study, permitting to characterize various important classes of C∗-algebras as …
[HTML][HTML] The Galois correspondence theorem for groupoid actions
A Paques, T Tamusiunas - Journal of Algebra, 2018 - Elsevier
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Isomorphism theorems for groupoids and some applications
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 …
we give fundamental properties of groupoids as uniqueness of inverses and properties of …
Epsilon-strongly groupoid-graded rings, the Picard inverse category and cohomology
We introduce the class of partially invertible modules and show that it is an inverse category
which we call the Picard inverse category. We use this category to generalize the classical …
which we call the Picard inverse category. We use this category to generalize the classical …
[HTML][HTML] Artinian and noetherian partial skew groupoid rings
Let α={α g: R g− 1→ R g} g∈ mor (G) be a partial action of a groupoid G on a (not
necessarily associative) ring R and let S= R⋆ α G be the associated partial skew groupoid …
necessarily associative) ring R and let S= R⋆ α G be the associated partial skew groupoid …
Free path groupoid grading on Leavitt path algebras
D Gonçalves, G Yoneda - International Journal of Algebra and …, 2016 - World Scientific
Free path groupoid grading on Leavitt path algebras Page 1 International Journal of Algebra
and Computation Vol. 26, No. 6 (2016) 1217–1235 c© World Scientific Publishing Company …
and Computation Vol. 26, No. 6 (2016) 1217–1235 c© World Scientific Publishing Company …
Partial groupoid actions on -categories: Globalization and the smash product
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 …
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 …
noncommutative ring context. In the particular case in which the Galois extension is a central …