Polynomial Algebras Have Polynomial Growth

DOI10.2307/2000356zbMath0618.17004OpenAlexW4239453548MaRDI QIDQ3754787

David R. Finston

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000356

zbMATH Keywords

Gelfand-Kirillov dimensionalgebra of polynomial functionsnomial extensions

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Graded rings and modules (associative rings and algebras) (16W50) General nonassociative rings (17A99) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• On the zeros of polynomials over arbitrary finite dimensional algebras
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• An additivity principle for Goldie rank
• On Multiplication Algebras
• Separable polynomials over finite dimensional algebras
• On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras

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