The Ideal Intersection Property for Groupoid Graded Rings

DOI10.1080/00927872.2011.559181zbMath1260.16038arXiv1001.0303OpenAlexW2119155775MaRDI QIDQ2903349

Johan Öinert, Patrik Lundström

Publication date: 8 August 2012

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

Full work available at URL: https://arxiv.org/abs/1001.0303

zbMATH Keywords

idealscommutantsmaximal commutative subringsskew groupoid ringsgroupoid graded rings

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Twisted and skew group rings, crossed products (16S35)

Related Items (13)

Simplicity of algebras via epsilon-strong systems ⋮ Simple rings and degree maps ⋮ Bimodules in group graded rings ⋮ Group gradations on Leavitt path algebras ⋮ Simplicity of Skew Group Rings of Abelian Groups ⋮ MAXIMAL COMMUTATIVE SUBRINGS AND SIMPLICITY OF ORE EXTENSIONS ⋮ Epsilon-strongly graded rings, separability and semisimplicity ⋮ Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics. ⋮ Groupoid gradings: A Morita context, semiprimality, and a Bergman-type question ⋮ SIMPLICITY OF CROSSED PRODUCTS BY TWISTED PARTIAL ACTIONS ⋮ Good Magma Gradings on Rings ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ Simplicity of iterated Ore extensions

Cites Work

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• Crossed product algebras defined by separable extensions.
• Introducing crystalline graded algebras.
• Commutativity and ideals in algebraic crossed products.
• Commutativity and ideals in category crossed products
• Crossed Product-Like and Pre-Crystalline Graded Rings
• Group graded rings
• Strongly groupoid graded rings and cohomology
• Separable Groupoid Rings
• Semiprime skew group rings

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