On partial skew groupoids rings

2019/05/29 by Dirceu Bagio, Bagio, Dirceu, Antonio Paques +3
Mathematics · #16S99. Secondary 18B40 #16W22 #20N02 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Primary 20L05 #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1905.12608

openalex publication_date 2019/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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⋆_αG can be realized as a partial skew group ring. In such a case applications concerning to the separability, semisimplicity and Frobenius property of the ring extension A⊂ A⋆_αG as well as to the artinianity of A⋆_αG are given.

Related

• Artinian and noetherian partial skew groupoid rings
• Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras
• Lifting partial actions: from groups to groupoids
• The interplay between Steinberg algebras and partial skew rings
• The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras