On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras

DOI10.1090/conm/013/685952zbMath0503.16017OpenAlexW4242647469MaRDI QIDQ3969083

Martin Lorenz, Lance W. Small

Publication date: 1982

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/013/685952

zbMATH Keywords

Gelfand-Kirillov dimensionnilpotent radicalminimal prime idealsaffine PI-algebrasNoetherian PI-algebra

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx)

Related Items (7)

The Hilbert series of prime PI rings. ⋮ On Gelfand-Kirillov dimension and related topics ⋮ Towards a more general notion of Gelfand-Kirillov dimension ⋮ Gelfand-Kirillov dimension under base field extension ⋮ Associative rings ⋮ Polynomial Algebras Have Polynomial Growth ⋮ The Gelfand-Kirillov dimension of a tensor product

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