Object-unital groupoid graded rings, crossed products and separability

DOI10.1080/00927872.2020.1846742zbMath1471.16048arXiv2001.05164OpenAlexW3107907878MaRDI QIDQ5856789

Juan Cala, Héctor Pinedo, Patrik Lundström

Publication date: 29 March 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05164

zbMATH Keywords

crossed productgroupoidsgraded ringseparable extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (2)

Graded modules over object-unital groupoid graded rings ⋮ On homogeneous co-maximal graphs of groupoid-graded rings

Cites Work

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• Simple skew category algebras associated with minimal partially defined dynamical systems
• Morita equivalence for rings without identity
• A bigger Brauer group
• Separable functors applied to graded rings
• A groupoid approach to C*-algebras
• Methods of graded rings.
• On the separability of the partial skew groupoid ring
• Crossed product algebras defined by separable extensions.
• Invertible unital bimodules over rings with local units, and related exact sequences of groups. II.
• Miyashita Action in Strongly Groupoid Graded Rings
• Commutativity and ideals in category crossed products
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• The category of groupoid graded modules
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• A survey of s-unital and locally unital rings
• EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY
• On Strongly Groupoid Graded Rings and the Corresponding Clifford Theorem
• SKEW CATEGORY ALGEBRAS ASSOCIATED WITH PARTIALLY DEFINED DYNAMICAL SYSTEMS
• Firm Frobenius monads and firm Frobenius algebras
• Strongly groupoid graded rings and cohomology

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