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 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 Page 1 Journal of Algebra and Its
Applications Vol. 15, No. 5 (2016) 1650096 (16 pages) c© World Scientific Publishing Company …

This thesis is mainly concerned with the intersection between ideals and (maximal
commutative) subrings of graded rings. The motivation for this investigation originates in the …

On the separability of the partial skew groupoid ring | SpringerLink Skip to main content
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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 …

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 …

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 …

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 …

We determine the commutant of homogeneous subrings in strongly groupoid graded rings in
terms of an action on the ring induced by the grading. Thereby we generalize a classical …