On a class of iterated Ore extensions.

DOI10.1016/j.bulsci.2003.07.002zbMath1060.16030OpenAlexW2014839941MaRDI QIDQ1428219

Laiachi El Kaoutit, José Gómez-Torrecillas

Publication date: 14 March 2004

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2003.07.002

zbMATH Keywords

coordinate ringsquantized Weyl algebrasprime spectraquantum spacesminimal injective resolutionsnoncommutative localizationsprime ideal cliques

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Syzygies, resolutions, complexes in associative algebras (16E05) Ideals in associative algebras (16D25)

Related Items (1)

Simplicity of iterated Ore extensions

Cites Work

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• Cohomology of bimodules over enveloping algebras
• Links between prime ideals in differential operator rings
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• Auslander-regular and Cohen-Macaulay quantum groups.
• Primitive ideals of the coordinate ring of quantum symplectic space
• Catenarity in quantum algebras
• Spectrum of the quantized Weyl algebra
• The quantum coordinate ring of the special linear group
• Local cohomology of some Auslander-Gorenstein rings
• Injective dimension of semi-primary rings
• PRIME IDEALS OF THE COORDINATE RING OF QUANTUM SYMPLECTIC SPACE
• Catenarity in a class of iterated skew polynomial rings
• Some properties of non-commutative regular graded rings
• Prime Factor Algebras of the Coordinate Ring of Quantum Matrices
• Duality over Auslander-Gorenstein rings.
• Locally finite representations of algebras^∗
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• Prime spectra of quantum semisimple groups
• Homological computations in PBW modules.
• Prime and primitive ideals of a class of iterated skew polynomial rings

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