PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS

DOI10.1142/S021949881000404XzbMath1227.16026MaRDI QIDQ3577788

Antonio Paques, Dirceu Bagio, Daiana Flôres

Publication date: 23 July 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

inverse semigroupspartial actionsordered groupoidsBirget-Rhodes expansionspartial skew groupoid ringsordered premorphisms

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Graded rings and modules (associative rings and algebras) (16W50) Inverse semigroups (20M18) Twisted and skew group rings, crossed products (16S35) Sets with a single binary operation (groupoids) (20N02) Representation of semigroups; actions of semigroups on sets (20M30) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (19)

A topological correspondence between partial actions of groups and inverse semigroup actions ⋮ Artinian and Noetherian partial skew groupoid rings ⋮ The Galois correspondence theorem for groupoid actions ⋮ Restriction and extension of partial actions ⋮ Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras ⋮ On the separability of the partial skew groupoid ring ⋮ Partial groupoid representations and a relation with the Birget-Rhodes expansion ⋮ Partial groupoid actions on R-categories: Globalization and the smash product ⋮ Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory ⋮ Isomorphism theorems for groupoids and some applications ⋮ Duality for Groupoid (Co)Actions ⋮ Recent developments around partial actions ⋮ EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY ⋮ Globalization of partial actions of groupoids on nonunital rings ⋮ Groupoid gradings: A Morita context, semiprimality, and a Bergman-type question ⋮ Free path groupoid grading on Leavitt path algebras ⋮ On partial skew groupoid rings ⋮ On the Galois map for groupoid actions ⋮ Groupoid actions on sets, duality and a morita context

Cites Work

• Unnamed Item
• Actions of inverse semigroups arising from partial actions of groups
• Group theory via global semigroup theory
• E-unitary covers for inverse semigroups
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Actions and expansions of ordered groupoids
• \(K\)-theory for partial crossed products by discrete groups
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• Partial actions of groups and actions of inverse semigroups
• PARTIAL ACTIONS OF GROUPS
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Expansions of inverse semigroups
• Separable Groupoid Rings

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