Gelfand-kirillov dimension and affine pi rings

DOI10.1080/00927878208822702zbMath0478.16021OpenAlexW2163513386MaRDI QIDQ3934555

Thomas H. Lenagan

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822702

zbMATH Keywords

affine PI-ringsPI-degreeGelfand-Kirillov dimensions

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Rings with polynomial identity (16Rxx)

Related Items (8)

Sur le principe d’Additivite du rang pour des bimodules, II ⋮ Dimension de gelfand-kirillov et decomposition primaire bilatere dans certaines algebres filtrees ⋮ Affine pi-rings have gabriel dimension ⋮ Associative rings ⋮ Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles ⋮ Cohomology of bimodules over enveloping algebras ⋮ Sur le principe d' additivite du rang pour des bimodules ⋮ Affine Noetherian PI-rings have enough clans

Cites Work

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• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• An additivity principle for Goldie rank
• P.I. degrees and prime ideals
• Noetherian Full Quotient Rings

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