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Central localization and Gelfand-Kirillov dimension

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Publication:594992
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DOI10.1007/BF02760621zbMath0526.17004MaRDI QIDQ594992

S. Paul. Smith

Publication date: 1983

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


zbMATH Keywords

Gelfand-Kirillov dimensioncentral localizationfactor ring of enveloping algebra


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50)


Related Items

A remark on Gelfand-Kirillov dimension ⋮ Unruffled extensions and flatness over central subalgebras.



Cites Work

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  • Krull dimensions of the enveloping algebra of sl(2,C)
  • A generalization of Quillen's lemma and its application to the Weyl algebras
  • Transcendental division algebras and simple Noetherian rings
  • The analytic continuation of generalized functions with respect to a parameter
  • Krull dimension of factor rings of the enveloping algebra of a semi-simple Lie algebra
  • Krull dimension of noetherian algebras and extensions of the base field
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