Dimension de gelfand-kirillov et decomposition primaire bilatere dans certaines algebres filtrees

DOI10.1080/00927878408823067zbMath0536.16020OpenAlexW2027612946MaRDI QIDQ3320551

A. Hudry

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823067

zbMATH Keywords

Gelfand-Kirillov dimensionprimary decompositionfinitely generated algebralocalizabilityArtin-Rees propertyalmost commutative algebraArtinian classical quotient ringhomomorphic images of enveloping algebras of finite dimensional Lie algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Universal enveloping (super)algebras (17B35) 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) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

Sur le principe d' additivite du rang pour des bimodules

Cites Work

• Artinian quotient rings of ideal invariant Noetherian rings
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Stable structure of noncommutative Noetherian rings. II
• An additivity principle for Goldie rank
• Sur la localization par rapport a un ideal reflexif
• Middle annihilators in noetherian rings
• Gelfand-kirillov dimension and affine pi rings
• Sur la dimension de gelfand-kirillov
• Primary decomposition in right noetherian rings
• Localization and the AR Property
• Injective modules and classical localization in Noetherian rings

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