Primitive ideals of certain Noetherian algebras

DOI10.1007/BF01214914zbMath0403.16015OpenAlexW2063597482MaRDI QIDQ1256028

Ronald S. Irving

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172882

zbMATH Keywords

Intersection TheoremBaire PropertyFinitely-Generated Nilpotent Group RingsFinitely-Presented Noetherian AlgebraPrime Goldie F-AlgebraPrimitive Ideal SpacePrimitive Ideals of Finitely-Generated Noetherian AlgebrasPrimitive Ideals of Solvable Enveloping AlgebrasSeparating Set

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Representation theory of associative rings and algebras (16Gxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (3)

On the importance of being primitive ⋮ Primitive ideals of algebras ⋮ Associative rings

Cites Work

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• Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups
• Generic flatness and the nullstellensatz for ore extensions
• Analogs of Clifford's Theorem for Polycyclic-by-Finite Groups
• Some Aspects of Ring Theory

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