On partial skew groupoid rings

DOI10.1142/S0218196721500016zbMath1492.16045arXiv1905.12608OpenAlexW3082607287MaRDI QIDQ5854486

Antonio Paques, Dirceu Bagio, Héctor Pinedo

Publication date: 17 March 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12608

zbMATH Keywords

separabilitygroupoidsemisimplicitypartial skew groupoid ringpartial groupoid actionFrobenius propertyartinianity

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Twisted and skew group rings, crossed products (16S35) Sets with a single binary operation (groupoids) (20N02) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (4)

Galois extensions for quasigroupoid magmas ⋮ Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras ⋮ Generalizations of Lagrange and Sylow theorems for groupoids ⋮ Galois correspondence for group-type partial actions of groupoids

Cites Work

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• On the separability of the partial skew groupoid ring
• On semisimple extensions and separable extensions over non commutative rings
• Free path groupoid grading on Leavitt path algebras
• PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties

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