On Gelfand-Kirillov dimension and related topics

DOI10.1016/0021-8693(88)90031-2zbMath0662.16002OpenAlexW2016804016MaRDI QIDQ1113973

Martin Lorenz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90031-2

zbMATH Keywords

filtrationsGelfand-Kirillov dimensionfinitely generated right moduleenveloping algebras of finite dimensional Lie algebrasfinitely presented subalgebragraded PI algebrasHilbert-Serre Theoremnoetherian algebrasnoetherian graded modulesPoincaré series of graded modules

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (9)

Affine Noetherian algebras, filtrations and presentations ⋮ Algebras without noetherian filtrations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cocycle twists of algebras ⋮ Gelfand-kirillov dimension of skew polynomial rings of automorphism type ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Invariant differential operators on the tangent space of some symmetric spaces ⋮ Rings with Auslander dualizing complexes

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• Homogeneous polynomial identities
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Gelfand-Kirillov Dimension is Exact for Noetherian PI Algebras
• Sur la dimension de gelfand-kirillov
• On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras

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