Skew group rings and maximal orders

DOI10.1017/S0017089500031153zbMath0830.16018OpenAlexW2026816593MaRDI QIDQ4846745

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Publication date: 30 January 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500031153

zbMATH Keywords

finite groupsstrongly graded ringsskew group ringstame ordersprime Noetherian ringsheight-1 prime ideals\(G\)-maximal orders\(X\)-outer automorphismsprime maximal ordersreflexive height-1 \(G\)-prime ideals

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (8)

Hereditary and maximal crossed product orders ⋮ The Cohen Macaulay property for noncommutative rings ⋮ Cuspidal representations of rational Cherednik algebras at \(t=0\). ⋮ Noncommutative deformations of Kleinian singularities ⋮ Dubrovin valuation properties of skew group rings and crossed products ⋮ On the rings of the morita context which are some well-known orders ⋮ Smooth polynomial identity algebras with almost factorial centers. ⋮ Dubrovin valuation skew group rings

Cites Work

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• Maximal orders in Artinian rings
• Finite generalized crossed products over tame and maximal orders
• Anneaux de Krull non commutatifs
• Projective modules over non-commutative semilocal rings
• Maximal orders and localization. I
• Homological dimension of skew group rings and crossed products
• Hereditary Noetherian prime rings
• Localisation in Asano orders
• Quotient Rings of Group Rings

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