Simple quotient rings of group algebras

DOI10.1016/0021-8693(79)90156-XzbMath0421.16008MaRDI QIDQ1132939

John Hannah

Publication date: 1979

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

zbMATH Keywords

maximal right quotient ringartinian group algebradirectly infinite group algebraprime nonsingular group algebra

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Prime and semiprime associative rings (16N60) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Localization and associative Noetherian rings (16P50)

Related Items (3)

Non-Archimedean group algebras with Baer reductions ⋮ Quotient rings of symmetric and universal group algebras ⋮ Modules

Cites Work

• Advances in group rings
• Primitive group algebras of polycyclic groups
• Lectures on injective modules and quotient rings
• On the decomposition of certain infinite nilpotent groups
• Maximal quotient rings of group rings
• Simple self-injective rings
• Strongly Prime Rings
• On the singular ideal of a group algebra
• Maximal Quotient Rings of Prime Group Algebras
• Rings of Quotients of Group Rings
• Primitive group rings
• Prime Ideals in Regular Self-Injective Rings
• On the Group Ring
• Artinian quotient rings of group rings
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