Partial actions of ordered groupoids on rings

D Bagio, D Flores, A Paques - Journal of Algebra and its …, 2010 - World Scientific
In this paper, we introduce the notion of a partial action of an ordered groupoid on a ring and
we construct the corresponding partial skew groupoid ring. We present sufficient conditions …

Globalization of partial actions of groupoids on nonunital rings

D Bagio, H Pinedo - Journal of Algebra and Its Applications, 2016 - World Scientific
Globalization of partial actions of groupoids on nonunital rings Page 1 Journal of Algebra and Its
Applications Vol. 15, No. 5 (2016) 1650096 (16 pages) c© World Scientific Publishing Company …

On the separability of the partial skew groupoid ring

D Bagio, H Pinedo - São Paulo Journal of Mathematical Sciences, 2017 - Springer
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[HTML][HTML] Artinian and noetherian partial skew groupoid rings

P Nystedt, J Öinert, H Pinedo - Journal of Algebra, 2018 - Elsevier
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 …

Closed and prime ideals in partial skew group rings of abelian groups

J Avila, M Ferrero - Journal of Algebra and Its Applications, 2011 - World Scientific
In this paper we study partial actions of abelian groups on a ring R having an enveloping
action. Among other results we prove that if α is such a partial action and (T, β) its …

The ideal intersection property for groupoid graded rings

J Öinert, P Lundström - Communications in Algebra, 2012 - Taylor & Francis
We show that, if a groupoid graded ring has a grading satisfying a certain nondegeneracy
property, then the commutant of the center of the principal component of the ring has the …

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 …

Separable groupoid rings

P Lundström - Communications in Algebra®, 2006 - Taylor & Francis
We show that groupoid rings are separable over their ring of coefficients if and only if the
groupoid is finite and the orders of the associated principal groups are invertible in the ring …

Simplicity of partial skew group rings of abelian groups

D Gonçalves - Canadian Mathematical Bulletin, 2014 - cambridge.org
Simplicity of Partial Skew Group Rings of Abelian Groups Page 1 Canad. Math. Bull. Vol. 57
(3), 2014 pp. 511–519 http://dx.doi.org/10.4153/CMB-2014-011-1 c Canadian Mathematical …

Partial actions and partial skew group rings

M Ferrero, J Lazzarin - Journal of Algebra, 2008 - Elsevier
In this paper we consider partial actions of groups on algebras and partial skew group rings.
After some general results we prove two versions of Maschke's theorem and then we study …