Group rings which are v-HC orders and Krull orders

DOI10.1017/S0013091500007124zbMath0748.16009OpenAlexW2140933707MaRDI QIDQ3991570

Hidetoshi Marubayashi, Kenneth A. Brown, Patrick F. Smith

Publication date: 28 June 1992

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500007124

zbMATH Keywords

group ringpolycyclic-by-finite groupprime Krull order\(v\)-invertible idealsdihedral freeprime \(v\)-\(HC\) order

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (2)

Non commutative unique factorization rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings

Cites Work

• Unnamed Item
• Remarks on VHC-orders in a simple Artinian ring
• Injectively homogeneous rings
• Anneaux de Krull non commutatifs
• A krull type generalization of knp rings with enough Invertible ideals
• Homologically Homogeneous Rings
• A skew polynomial ring over a v-hc order with enough V-inveriible ideals
• Some examples of maximal orders
• Height One Primes of Polycyclic Group Rings
• Rings of finite global dimension integral over their centres
• Prime Ideals in Group Rings of Polycyclic Groups
• Prime Ideals in Group Algebras OE Polycyclic-by-Finite Groups
• Divtsorially graded rings by polycyclic-by-finite groups
• Quotient Rings of Group Rings

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