Actions of algebraic groups on the spectrum of rational ideals. II

DOI10.1006/jabr.1998.7422zbMath0914.16013OpenAlexW2170546240MaRDI QIDQ1271906

Nikolaus Vonessen

Publication date: 14 June 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7422

zbMATH Keywords

orbitslinear algebraic groupsprimitive idealssemiprime idealsrational actionsinduced actionsGelfand-Kirillov dimensionsGoldie conditionspectrum of rational ideals

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Universal enveloping (super)algebras (17B35) Group actions on varieties or schemes (quotients) (14L30) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (4)

PRIME IDEALS INVARIANT UNDER WINDING AUTOMORPHISMS IN QUANTUM MATRICES ⋮ On the importance of being primitive ⋮ Hopf algebra orbits on the prime spectrum of a module algebra. ⋮ Algebraic group actions on noncommutative spectra.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prime and principal closed ideals in polynomial rings
• Sous-corps commutatifs ad-stables des anneaux de fractions des quotients des algèbres enveloppantes; espaces homogènes et induction de Mackey. (Ad-stable commutative subfields of the ring of fractions of quotients of enveloping algebras; homogeneous spaces and Mackey induction)
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• On the prime and primitive spectra of the algebra of functions on a quantum group
• Algebraic structure of multiparameter quantum groups
• Actions of algebraic groups on the spectrum of rational ideals
• Some remarks on algebraic groups
• Actions of linearly reductive groups on affine PI algebras
• Sur la classification des idéaux primitifs des algèbres enveloppantes
• Groups Acting on Affine Algebras
• Infinite Crossed Products and Group-Graded Rings
• Goldie Dimension of Prime Factors of Polynomial and Skew Polynomial Rings
• A Note on Jacobson Rings and Polynomial Rings
• Goldie Conditions in Finite Normalizing Extensions
• Liberal Extensions
• Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• Automorphisms of Function Fields

This page was built for publication: Actions of algebraic groups on the spectrum of rational ideals. II