Down-up algebras at roots of unity

DOI10.1090/S0002-9939-08-09547-6zbMath1154.16012MaRDI QIDQ3533848

Rajesh S. Kulkarni

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

relationsgeneratorspolynomial ringsmaximal ordersdown-up algebrasgeneralized Weyl algebraslocalizationscrossed product algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35)

Related Items (5)

Plane curves which are quantum homogeneous spaces ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ INJECTIVE MODULES OVER DOWN-UP ALGEBRAS ⋮ MONOLITHIC MODULES OVER NOETHERIAN RINGS ⋮ Projective resolutions of associative algebras and ambiguities.

Cites Work

• Unnamed Item
• Down-up algebras
• Hopf down-up algebras.
• Noetherian down-up algebras
• Auslander-Regular Algebras and Maximal Orders
• Crossed Products and Hereditary Orders
• Hereditary Orders
• Maximal Orders
• A Hopf structure for down-up algebras
• Down-up algebras and their representations.

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