Finite Correspondence of Spectra in Noetherian Ring Extensions

DOI10.2307/2159430zbMath0786.16011OpenAlexW4251842856MaRDI QIDQ4031443

Edward S. Letzter

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2159430

zbMATH Keywords

prime idealcliquesenveloping algebrascomplex group algebrasprimitive idealnoetherian ringsGoldie ranklying overcorrespondence of spectranoetherian PI algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (8)

P.I. envelopes of classical simple Lie superalgebras ⋮ Standard prime ideals and lying over for finite extensions of Noetherian algebras ⋮ Unnamed Item ⋮ On the ring extensions arising from completely solvable Lie superalgebras ⋮ A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra ⋮ The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟) ⋮ Integrality for PI-rings ⋮ Prime Factor Algebras of the Coordinate Ring of Quantum Matrices

Cites Work

• Localisation at cliques in group rings
• The influence of ideal structure on representation theory
• Integral ring homomorphisms
• Affiliated series and extensions of modules
• A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra
• An additivity principle for Goldie rank
• Prime ideals in finite extensions of Noetherian rings
• Prime Ideals in Ring Extensions
• A Rank Two Indecomposable Projective Module over a Noetherian Domain of Krull Dimension One
• Primitive Ideals in Finite Extensions of Noetherian Rings
• Finite Extensions of Rings
• Prime Ideals in Intermediate Extensions
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