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Towards a more general notion of Gelfand-Kirillov dimension

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Publication:1912775
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DOI10.1007/BF02761094zbMath0865.16018OpenAlexW2022130077MaRDI QIDQ1912775

Anders Jensen, R. A. Beaulieu, Søren Jøndrup

Publication date: 7 July 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761094


zbMATH Keywords

Gelfand-Kirillov dimensionaffine algebrasreduced rankalgebras over commutative Noetherian rings


Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)


Related Items (1)

Non-commutative algebraic geometry of semi-graded rings




Cites Work

  • Prime ideals in finite extensions of Noetherian rings
  • On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras
  • Affine algebras of Gelfand-Kirillov dimension one are PI
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