Gelfand-Kirillov dimension under base field extension

DOI10.1007/BF02773842zbMath0753.16014MaRDI QIDQ1182819

Quan Shui Wu

Publication date: 28 June 1992

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

zbMATH Keywords

transcendence degreeGelfand-Kirillov dimensionfield extensionNoetherian PI algebra

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Growth rate, Gelfand-Kirillov dimension (16P90) Transcendental field extensions (12F20)

Related Items (1)

Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras

Cites Work

• Unnamed Item
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• The Gelfand-Kirillov dimension of a tensor product
• Gel’fand-kirillov dimensions of factor rings
• Simple Modules and Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension
• Gel'fand-Kirillov dimension can go up in extension modules
• On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras

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