Noncommutative Extensions of Hilbert Rings

DOI10.2307/2031836zbMath0052.26704OpenAlexW4242138674MaRDI QIDQ5824412

Charles W. Curtis

Publication date: 1953

Full work available at URL: https://doi.org/10.2307/2031836

zbMATH Keywords

moduls, rings, fields

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (18)

A Note on the Representations of Nilpotent Lie Algebras ⋮ Residual Finiteness of Color Lie Superalgebras ⋮ Frattini Subalgebras of Finitely Generated Soluble Lie Algebras ⋮ Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Projectivity of Hopf algebras over subalgebras with semilocal central localizations ⋮ Descending chain conditions for Lie algebras of prime characteristic ⋮ Darstellungen auflösbarer Lie-p-Algebren ⋮ An Analogue of the Jacobson-Morozov Theorem for Lie Algebras of Reductive Groups of Good Characteristics ⋮ Jacobson-rings and Hilbert algebras with polynomial identities ⋮ On the occasional equality of the lower and Jacobson radicals in Noetherian rings ⋮ Inertial subalgebras of complete algebras ⋮ Approximations of Lie algebras ⋮ Modular representations of simple Lie algebras ⋮ Generalized reduced enveloping algebras for restricted Lie algebras ⋮ Soluble Lie algebras having finite-dimensional maximal subalgebras

Cites Work

• Unnamed Item
• On representations of Lie algebras
• Hilbert rings and the Hilbert Nullstellensatz
• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• Prime Ideals and the Lower Radical
• On Maximally Central Algebras
• A Note on Lie Algebras of Characteristic p
• The Representations of Lie Algebras of Prime Characteristic
• Prime ideals and integral dependence
• Radical Ideals
• The Radical and Semi-Simplicity for Arbitrary Rings
• Structure Theory of Simple Rings Without Finiteness Assumptions

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