Prime ideals in finite extensions of Noetherian rings

DOI10.1016/0021-8693(90)90299-4zbMath0721.16010OpenAlexW2090715245MaRDI QIDQ2640678

Edward S. Letzter

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90299-4

zbMATH Keywords

universal enveloping algebraslinkslocalisationGelfand-Kirillov dimensionsecond layer conditionminimal prime idealprime spectraextension of ringsnoetherian ringsgoing upfinite dimensional Lie superalgebraideal linked prime idealsLying overnoetherian bimodulesright fully bounded

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Bimodules in associative algebras (16D20) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items (21)

Complete sets of representations of classical Lie superalgebras ⋮ The second layer condition for certain centralizing extensions of FBN rings and polynomal rings ⋮ Towards a more general notion of Gelfand-Kirillov dimension ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ The artin-tate lemma for finite normalizing extensions ⋮ Standard prime ideals and lying over for finite extensions of Noetherian algebras ⋮ Unnamed Item ⋮ Some remarks on growth of algebras over commutative noetherian rings ⋮ Classical localizability in solvable enveloping algebras and Poincaré- Birkhoff-Witt extensions ⋮ Localization in a Morita context with applications to fixed rings ⋮ On the ring extensions arising from completely solvable Lie superalgebras ⋮ Integrality for PI-rings ⋮ Noetherian Ring Extensions with Trace Conditions ⋮ Krull relations in Hopf Galois extensions: lifting and twisting. ⋮ \(\mathcal U_q(\operatorname{sl}(2))\) satisfies a Bernstein duality ⋮ Finite Correspondence of Spectra in Noetherian Ring Extensions ⋮ Actions of Linearly Reductive Groups on Pi-Algebras ⋮ \(S\)-prime ideals of a commutative ring ⋮ Finite Normalizing Extensions of FSN Rings ⋮ The second layer condition relative to a torsion radical ⋮ A new characterisation of hereditary PI rings

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