Partial groupoid representations and a relation with the Birget-Rhodes expansion

DOI10.4171/PM/2121arXiv2304.00191OpenAlexW4391804884MaRDI QIDQ6203855

Thaísa Tamusiunas, Wesley G. Lautenschlaeger

Publication date: 8 April 2024

Published in: Portugaliae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00191

zbMATH Keywords

groupoidBirget-Rhodes expansionpartial groupoid algebrapartial groupoid representation

Mathematics Subject Classification ID

Representation of semigroups; actions of semigroups on sets (20M30) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

• The Galois correspondence theorem for groupoid actions
• Actions and expansions of ordered groupoids
• Partial representations and partial group algebras
• Partial groupoid actions on sets and topological spaces
• Galois correspondence for group-type partial actions of groupoids
• Injectivity of the Galois map
• Restriction and extension of partial actions
• PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS
• PARTIAL ACTIONS OF GROUPS
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• A CHARACTERISATION FOR A GROUPOID GALOIS EXTENSION USING PARTIAL ISOMORPHISMS
• Groupoid actions on sets, duality and a morita context
• A Galois correspondence for \(K_\beta\)-rings
• Generalizations of Lagrange and Sylow theorems for groupoids

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