Group rings of free products are primitive
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Publication:2562123
DOI10.1016/0021-8693(73)90011-2zbMath0266.16008OpenAlexW2021819184MaRDI QIDQ2562123
Publication date: 1973
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(73)90011-2
Group rings (16S34) 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 (28)
Semigroup rings ⋮ Property \(P_{naive}\) for acylindrically hyperbolic groups ⋮ On the Primitivity of Group Rings of Amalgamated Free Products ⋮ Primitive and prime rings with s.Baer or related modules ⋮ Some more primitive group rings ⋮ Irreducible *-representations of some group rings and associated Banach *-algebras ⋮ Prime ideals in normalizing extensions ⋮ GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE ⋮ On prime nonprimitive von Neumann regular algebras ⋮ Non-Noetherian groups and primitivity of their group algebras ⋮ Group rings of proper ascending HNN extensions of countably infinite free groups are primitive. ⋮ The primitivity of semigroup algebras of free products ⋮ Group rings ⋮ Associative rings ⋮ A class of contracted inverse semigroup rings ⋮ Advances in group rings ⋮ Finitely presented algebras and groups defined by permutation relations. ⋮ The work of Douglas Munn and its legacy ⋮ The primitivity of free products of associative algebras ⋮ Some primitive group rings ⋮ A reduction theorem for the primitivity of tensor products ⋮ On the primitivity of prime rings ⋮ A Singular Primitive Ring ⋮ Fully k-Primary Rings ⋮ A property of the complex semigroup algebra of a free monoid ⋮ Faithful, irreducible *-representations for group algebras of free products ⋮ Semiprimitivity of inverse semigroup algebras ⋮ Strongly Prime Rings
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