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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 …

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 …

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 …

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 …

Given a partial action α of a groupoid G on a ring R, we study the associated partial skew
groupoid ring R⋊ α G, which carries a natural G-grading. We show that there is a one-to-one …

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 …

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 …

Given a group G acting on a ring R via α: G→ Aut (R), one can construct the skew group ring
R* αG. Skew group rings have been studied in depth, but necessary and sufficient …

We let R be an associative ring with an identity (unless explicitly stated otherwise). We let G
be a finite group of automorphisms of i^. We consider two rings associated with R and G …