Affine pi-rings have gabriel dimension

DOI10.1080/00927878408823054zbMath0538.16019OpenAlexW2116934891MaRDI QIDQ3324108

Robert Gordon, Lance W. Small

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823054

zbMATH Keywords

Krull dimensionprime radicalsemiprime idealsGabriel dimensionaffine PI-ring

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Rings with polynomial identity (16Rxx)

Related Items (1)

On noncommutative piecewise Noetherian rings

Cites Work

• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• The Gabriel dimension of a module
• Gel'fand-Kirillov dimension can go up in extension modules
• Gelfand-kirillov dimension and affine pi rings
• The radical in a finitely generated P. I. algebra
• Unnamed Item

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