On the Primitivity of Group Rings of Amalgamated Free Products

DOI10.2307/2047372zbMath0684.16005OpenAlexW4254817603MaRDI QIDQ4733973

Bola O. Balogun

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047372

zbMATH Keywords

group ringprimitivityfree products of groups with amalgamation

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (2)

Property \(P_{naive}\) for acylindrically hyperbolic groups ⋮ Non-Noetherian groups and primitivity of their group algebras

Cites Work

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• Primitive group rings
• Group rings of free products are primitive
• C*-algebras associated with amalgamated products of groups
• On the Primitivity of the Group Ring of a Free Group

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