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 …

[HTML][HTML] The interplay between Steinberg algebras and skew rings

VM Beuter, D Gonçalves - Journal of Algebra, 2018 - Elsevier
We study the interplay between Steinberg algebras and skew rings: For a partial action of a
group in a Hausdorff, locally compact, totally disconnected topological space, we realize the …

Leavitt path algebras as partial skew group rings

D Gonçalves, D Royer - Communications in Algebra, 2014 - Taylor & Francis
Full article: Leavitt Path Algebras as Partial Skew Group Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory

D Gonçalves, D Royer - Journal of the Australian Mathematical …, 2020 - cambridge.org
SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS
VIA PARTIAL SKEW GROUP RING THEORY Page 1 SIMPLICITY AND CHAIN …

[HTML][HTML] Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics

D Gonçalves, J Öinert, D Royer - Journal of Algebra, 2014 - Elsevier
Let R 0 be a commutative and associative ring (not necessarily unital), G a group and α a
partial action of G on ideals of R 0, all of which have local units. We show that R 0 is maximal …

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 …

Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics

V Beuter, D Gonçalves, J Öinert, D Royer - Forum Mathematicum, 2019 - degruyter.com
Given a partial action π of an inverse semigroup S on a ring 𝒜, one may construct its
associated skew inverse semigroup ring 𝒜⋊ π S. Our main result asserts that, when 𝒜 is …

Partial crossed products as equivalence relation algebras

VM Beuter, D Gonçalves - 2016 - projecteuclid.org
For a free partial action of a group in a set we realize the associated partial skew group ring
as an algebra of functions with finite support over an equivalence relation and we use this …

Simple semigroup graded rings

P Nystedt, J Öinert - Journal of Algebra and Its Applications, 2015 - World Scientific
We show that if R is a, not necessarily unital, ring graded by a semigroup G equipped with
an idempotent e such that G is cancellative at e, the nonzero elements of eGe form a …

Representations of relative Cohn path algebras

CG Canto, D Gonçalves - Journal of Pure and Applied Algebra, 2020 - Elsevier
We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we
realize them as partial skew group rings. To do this we prove uniqueness theorems for …